Time & Distance Test 5

1. In a circus there was a leopard and a tiger walking in the two different rings of same radii. There I observed that when leopard moved 3 steps, tiger moved 5 steps in the same time, but the distance travelled by leopard in 4 steps is equal to the distance travelled by tiger in 5 steps. What is the number of rounds that a leopard made when tiger completed 100 rounds?

2. A car completes a journey in 10 hours. If it covers half of the journey at 40 kmph and the remaining half at 60 kmph, the distance covered by car is:

3. A certain distance is covered by a vehicle at a certain speed. If half of this distance is covered by another vehicle in double the time, the ratio of the speeds of the two vehicles is:

4. A tourist covered a journey partly by foot and partly by tonga. He walked for 90 km and rode the tonga for 10 km. He spent 4 h less on the tonga than on walking. If the tourist had reversed the time he travelled by foot and on tonga, the distances travelled on each part of the journey would be equal. How long did he ride the tonga ?

5. An ant moved for several seconds and covered 3 mm in the first second and 4 mm more in each successive second than in its predecessor. If the ant had covered 1 mm in the first second and 8 mm more in each successive, then the difference between the path it would be more than 6 mm but less than 30 mm. Find the time for which the ant moved (in seconds)

6. A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5 minutes and therefore, to make up for the lost time he increased his speed by 10 km/h. Find the initial speed of the motorcyclist if the total path covered by him is equal to 50 km:

7. I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?

8. A man walks a certain distance and rides back in 4 hours 30 minutes. He could ride both ways in 3 hours. The time required by the man to walk both ways is:

9. A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is:

10. Ram arrives at a Bank 15 minutes earlier than scheduled time if he drives his car at 42 km/h. If he drives car at 35 km/h he arrives 5 minutes late. The distance of the Bank, from his starting point is :

11. A boy is late by 9 minutes if he walks to shcool at a speed of 4 km/hour. If he walks at the rate of 5 km/hour, he arrives 9 minutes early. The distance to his school is :

12. Bhuvnesh goes to his office by scooter at a speed of 30 km/h and reaches 6 minutes earlier. If he goes at a speed of 24 km/ h, he reaches 5 minutes late. The distance of his office is:

13. Walking at 5 km/hr a student reaches his school from his house 15 minutes early and walking at 3 km/hr he is late by 9 minutes. What is the distance between his school and his house ?

14. If I walk at 5 km/hour. I miss a train by 7 minutes. If however, I walk at 6 km/hour, I reach the station 5 minutes before the departure of the train. The distance (in km) between my house and the station is:

15. A man has to be at a certain place at a certain time. He finds that he shall be 20 minutes late if he walks at a speed of 3 km/hour and 10 minutes earlier if he walks at a speed of 4 km/hour. The distance he has to walk is :

16. When a person cycled at 10 km per hour he arrived at his office 6 minutes late. He arrived 6 minutes early, when he increased his speed by 2 km per hour. The distance of his office from the starting place is:

17. If A student runs 5 km/h then he becomes 10 min late to school, but if he increases his speed by 1 km/h, then he becomes only 5 min late. Find his normal speed to reach there on time :

18. If a man runs at 10 km/h, then he arrives at a certain place at 1 p.m. But if increases his speed by 5 km/h then he reach at there at 11 a.m. At what speed must he runs to get there at noon :

19. A man covers a certain distance by his car. If he moved 6 km/h faster then he takes 4 hour less and If he had moved 4 km/h slower then he would have taken 4 hours more. Find his distance:

20. If a man moves at 2 km/h faster than he takes 60 minute less and if he had moved 1 km/ h slower than he takes 40 minutes more. Find his distance :