Time and Distance Worksheet-4

Time and Distance Worksheet-4

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is :

(a) 35 (b) (c) (d) 40

A car travels from P to Q at a constant speed. If its speed were increased by 10 km / hr, it would have taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. What is the distance between the two cities ?

(a) 420 km (b) 540 km (c) 600 km (d) 650 km

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is :

(a) 100 kmph (b) 10 kmph (c) 120 kmph (d) 130 kmph

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

A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km / hr more, then it would have taken 2 hours less to cover the same distance. What is the original speed of the car ?

(a) 45 km/hr (b) 50 km/hr (c) 55 km/hr (d) 65 km/hr

In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is :

(a) 1 hour (b) hours (c) 2 hours (d) hours

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

Three persons are walking from a place A to another place B. Their speeds are in the ratio of 4 : 3 : 5. The time ratio to reach B by these persons will be :

(a) 4 : 3 : 5 (b) 5 : 3 : 4 (c) 15 : 9: 20 (d) 15 : 20 : 12

With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in hours. What is the distance covered ?

(a) 420 km (b) 480 km

(e) None of these

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

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

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 hour (b) 2 hours (c) 3 hours (d) 4 hours

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is :

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

A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 54 minutes will be covered by B in :

(a) 18 min (b) 27 min (c) 38 min (d) 9 min

Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction ?

(a) 4 hrs 15 min (b) 8 hrs 30 min

A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A ?

(a) 16.7 km (b) 18.6 km (c) 21.5 km (d) 26.7 km

Answer Key:

(1)-d; (2)-a; (3)-c; (4)-b; (5)-c; (6)-c; (7)-a; (8)-d; (9)-b; (10)-a; (11)-a; (12)-c; (13)-a; (14)-d; (15)-d