Speed & Distance

SPEED AND DISTANCE

1.A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

a)3.6 b)7.2 c)8.4 d)10

2. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:

a)300kmph b)360 kmph c)600 kmph d)720 kmph

3. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:

a)50 b)56 c)70 d)80

4. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

a)9 b)10 c)12 d)20

5. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

a)1 hr b)2hrs c)3 hrs d)4hrs

6. A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

a)220 b)224 c)230 d)234

7. A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

a)35.55 kmph b)36 kmph c)71.11 kmph d)71 kmph

8. A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

a)17 6/7 kmph b)25 kmph c)30 kmph d)35 kmph

9. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

a) 5 kmph b)6 kmph c)6.25 kmph d)7.5 kmph

10. Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

a)8 kmph b)11 kmph c)12 kmph d)14 kmph

TRAINS

1. Two trains, 250 metres and 150 metres long respectively, are running on parallel lines. If they are running in the same directions, the faster train crosses the slower train in 40 seconds. If they are moving in the opposite direction they pass each other in eight seconds. What is the speed of the slower train?

a) 108kmph b) 82kmph c)92 kmph d) 72 kmph

2. A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.

a) 28 b)32 c)36 d)24

3. A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?

a) 26 sec b) 39 sec c)36 sec d)29 sec.

4. Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations.

a) 210 km b)240 km c)220km d)180km

5. Two trains of equal length 120 metres move in the same direction. The faster train completely overtakes the slower one in 15 seconds. If the slower train were to move at half its speed, the overtaking would take in 10 seconds. At what speeds are the 2 trains moving (faster and slower respectively in m/s)

a) 24, 22 b) 32, 16 c)30, 18 d) 28, 14

6. Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?

a) 60 km/hr b) 90 km/hr c) 120 km/hr d) 135 km/hr

7. Two trains A and B start simultaneously from stations X and Y towards each other respectively. After meeting at a point between X and Y, train A reaches station Y in 9 hours and train B reaches station X in 4 hours from the time they have met each other. If the speed of train A is 36 km/hr, what is the speed of train B?

a) 24 km/hr b) 54 km/hr c) 81 km/hr d) 16 km/hr

8. When a local train travels at a speed of 60kmph, it reaches the destination on time. When the same train travels at speed of 50kmph, it reaches its destination 15 minutes late. What is the length of journey?

a)75km b)50km c)60km d)85km

9. A goods carriage of length 2km, headed to Srinagar from Punjab was running at a speed of 30km/hr. it crosses a tunnel which is 58km long with that speed. Find the time taken by the goods carriage to cross the tunnel?

a)2 ½ hrs b)2 hrs c) 3 hrs d)None

10. The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

a)200 m b)225 m c)245 m d)250 m

BOATS AND STREAMS

1.A man can row upstream 10 kmph and downstream 20 kmph. Find the man rate in still water and rate of the stream

a)0,5 b)5,5 c)5,15 d)10,5

2. A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.

a)1 km/hr b)2km/hr c)3km/hr d)4km/hr

3. In one hour, a boat goes 11km along the stream and 5 km against it. Find the speed of the boat in still water

a)6 b)7 c)8 d)9

4. A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is

a)2km/hr b)3km/hr c)4km/hr d)5km/hr

5. If Rahul rows 15 km upstream in 3 hours and 21 km downstream in 3 hours, then the speed of the stream is

a)5 km/hr b)4 km/hr c)2 km/hr d)1 km/hr

6. A man can row 9 1/3 kmph in still water and finds that it takes him thrice as much time to row up than as to row, down the same distance in the river. The speed of the current is.

a)3 2/3 kmph b)4 2/3kmph c)5 2/3 kmph d)6 2/3 kmph

7. A man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. His rowing speed in still water is

a)4kmph b)5kmph c)6kmph d)7kmph

8. If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is

a)12 kmph b)13 kmph c)14 kmph

d)15 kmph

9. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is

a)3:1 b)1:3 c)2:4 d)4:2

10. A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be

a)11 kmph b)12 kmph c)14 kmph d)17 kmph

11. A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 84 km downstream.

a)4 hrs b)5 hrs c)6 hrs d)7hrs

12. A man can row at 5 kmph in still water. If the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back. how far is that place.

a)0.4km b)1.4km c)2.4km d)3.4km

13. The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is

a)1.6 km b)2 km c)3.6 km d)4km

14. Sahil can row 3 km against the stream in 20 minutes and he can return in 18 minutes. What is rate of current ?

a)1/2 kmph b)1/3 kmph c)2 kmph d) 4 kmph

TYPE-I

1. If a person walks 30 km/hr, he his 10 min late. If he walks 40 km/hr, he his 5 min early.

Find the distance.

2. If a person walks 45 km/hr, he his 10 min late. If he walks 60 km/hr, he his 5 min late.

Find the distance.

3. If a man runs at 10 km/hr he reaches the office at 1 pm,but if he runs at 15 km/hr, he reaches the office at 11 am. If he wants to reach the office at 12 noon what is the speed

TYPE-II

1. If a person walks 5/6 ^th of his usual speed he his 20 min late. then find usual time.

2. If a person walks 7/11 th of his usual speed he his 28 min late. then find usual time.

3. If a person walks 7/5 th of his usual speed he his 14 min early. then find usual time.

4. If a person walks 25/13 th of his usual speed he his 36 min early. then find usual time.

TYPE-III

1. If a person walks 4 th of his usual speed a person reaches his office in 36 min, how much time could he save by moving his actual speed.

2. If a person walks 13 th of his usual speed a person reaches his office in 35 min, how much time could he waste by moving his actual speed.

TYPE-IV

1. The ratio between the speeds of A and B is 3:4. If A takes 20 min more than B to reach the destination. In what time does A reach destination.

2. The ratio between the speeds of A and B is 3:5. If A takes 20 min more than B to reach the destination. In what time does A reach destination.

3. The ratio between the speeds of A and B is 5:8. If A takes 20 min more than B to reach the destination. In what time does A reach destination.

4. The ratio between the speeds of A , B and C is 9:6:8. If B takes 24 min more than C to cover a distance then find the time taken by A to cover the same distance.

TYPE-V

1. Without any stopping , a person travel a certain distance at an average speed of 80 km/hr and with stoppages he cover the same distance at an average speed of 60 km/hr, then find for how many min/hr does he stop.

2. Without any stopping , a person travel a certain distance at an average speed of 42 km/hr and with stoppages he cover the same distance at an average speed of 28 km/hr, then find for how many min/hr does he stop.

3. A man is walking at a speed of 9 km/hr after every 1 km he takes a rest of 9 min. then find the total time taken by him to cover a distance of 27 km.

4. A man is walking at a speed of 12 km/hr after every 1 km he takes a rest of 12 min. then find the total time taken by him to cover a distance of 36 km.

5. A man is walking at a speed of 18 km/hr after every 7 km he takes a rest of 6 min. then find the total time taken by him to cover a distance of 90 km.

6. A man takes 12 hours to walks to a certain distance and ride back. however if he walks both the ways he need 3 hours more. how long would he had taken to ride both ways.

TYPE-VI

1. A road is 900 km length. A contractor want to plant some pillars at every 20 km of distance. find the total number of pillars.

2. A person want to plant trees at the edge of square field having side of 30 km at every 15 km of distance, then find the number of trees.

TYPE-VII

1. A car is running at a speed of 36 km/hr if the speed increases by 4 km/hr at the end of each hour , what will be the distance covered in 9 hours.

2. 2 man A and B walks from P to Q for a distance of 21 km at 3 km/hr, 4 km/hr respectively.

B reaches the point Q first and returns immediately and meet A at point R. then find

(a) Distance traveled by A and B (b) The distance from P to R

(c) The distance from Q to R

3. tarun can cover a certain distance in 1 hour 24 minutes by covering 2 rd of distance , the total Distance is—-

4. A man covers a certain distance on scooter. Had he moved 3 kmph faster, he would have taken 40 min less,if he had moved 2 kmph slower he would have taken 40 min more.The distance in km

5. Two trains one from kurnool to delhi and other from delhi to kurnool start at a time

,after they meet the trains reaches the destinations 9 hours and 16 hours respectively. Find the ratio of speeds.

TYPE-VIII

1. A man can cover half of his journey at 6 km/hr and remaining half at 3 km/hr find his average speed

2. A man travel a distance of 24 km at 6 km/hr another distance of 24 km at 8 km/hr and third distance of 24 km at 12 km/hr find the average speed of a whole journey

3. A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average of 10 km/hr his average speed for entire trip is approximately

4. A person travels 600 km by train at 80 km/hr. 800 km by ship at 40 km/hr,500 km by airplane at 400 km/hr and 100 km by car at 50 km/hr. What is the average speed for entire trip

TYPE-IX

1. Two trains are moving in opposite directions at 50 km/hr and 40 km/hr, the faster train crosses a man in slower train in 3 seconds, then find the length of faster train

2. two trains are moving in opposite directions at 30 km/hr and 24 km/hr ,the faster train crosses a man in slower train in 6 seconds.then find the length of faster train

3. two train of equal length take 5 sec and 6 sec respectively to cross a pole, then find the time in which they will cross each other

(a) same direction

(b) opposite direction

4. From stations A and B two trains starts moving each other with speed of 150 km/hr and 130 km/hr when the trains meet each other it is found that one train has covered 80 km more than that of another train then find the distance between station A and B.

5. A train over takes 2 persons who are walking at 4 km/hr and 8 km/hr in the same direction and passes them completely in 18 sec and 20 sec respectively then find the length and speed of train?

TYPE-X

1. A thief is spotted by a police man from a distance of 200 meters, the police man starts the chase then thief starts running. Assuming the speed of thief 10 km/hr, the speed of police man is 12 km/hr then find

(a) in how much time thief would be caught

(b) the distance traveled by police before he catches the thief

(c) the distance traveled by the thief before he is over taken.

2. A thief is spotted by a police man from a distance of 500 meters, the police man starts the chase then thief starts running. Assuming the speed of thief 9 km/hr, the speed of police man is 10 km/hr then find distance between them after 12 min

3. The distance between the kurnool to hyd is 140 km. If the bus starts at kurnool with 20 km/hr to hyd, at he same time another bus starts at hyd to kurnool with a speed of 15 km/hr, then find the time at which they meet at first time and second time.

4. A train X starts from hyd at 4 pm and reaches kurnool at 6 pm, while another train Y starts at kurnool at 4 pm reaches hyd at 7 pm, at what time the two trains cross each other.

5. Two towns A and B are 500 km apart, a train starts AT 8 AM from A towards B at a speed of 70 km/hr, at 10 am another train starts from B towards A at a speed of 110 km/hr.At what time two trians meet?

6. A train X starts from mumbai at 2 pm and reaches pune at 5 pm while another train Y starts from pune at 4 pm and reaches mumbai 9 pm, at what time two trains will cross each other (approximately)