Time & Distance Test 6

1. Rajesh kumar started for the station half a km from his home walking at 1 km/h to catch the train on time. After 3 minutes he realise that he had forgotten some important documents at home and returned with increased, but constant speed to get it succeeded in catching the train. Find his latter speed in km/h:

2. A bus travels a certain distance with the uniform speed. If the speed of bus is 7 km/h more then time taken to travel the same distance is 1 hour less. If the speed of the bus is 5 km/h less then time will be 1 hour more. Then find the distance and the time taken to travel the distance with a uniform speed, and also find what is the speed of the bus?

3. Rajesh kumar travels a certain distance by cycle. If he travels 2 km/h faster, then he reaches 60 minutes before the time. If he travels 1 km/h slower then he reaches 40 minutes late. Find the distance and the original speed by Rajesh kumar?

4. Two places A and B are 300 km apart from the place A, a car and a scooter start at the same time towards B. The car travels 2/3rd of the total distance with a certain speed and after this it stops for 10 minutes. After this it travels the remaining distance at 3/4th of the speed. The scooter travels 1/3rd of the total distance at a certain speed, and then stops for half an hour. And the remaining distance it travels at 100 % more than the previous speed. Thus both reach to B at the same time. If the speed of the car is 15 km/h more than the scooter then find the initial speed of car and the scooter, and also find if they starts at 7 : 00 am from A then at what time will they reach to B ?

5. Rajesh kumar travels one-third of his journey at a speed of 10 km/h, next one-third at a speed of 6 km/h and the remaining distance he travels at a speed of 7.5 km/h. If he travels half of the distance at 9 km/h and the remaining half distance at 5 km/h, then he will take two hours more time. Then find how much distance he travelled ?

6. Bhuvnesh travels 79 km in 13 hours. Some part of the total distance he travelled on foot at a speed of 5 km/h and the remaining distance travelled by cycle at a speed of 7 km/h. Then find the distance travelled by the cycle ?

7. Rajesh kumar goes to Chennai from his Bungalow, which is 800 km apart. Initially 250 km he travels by car and the remaining by train. He takes 27 hours to cover whole journey. If he travels 300 km by car and the remaining by train then he takes 1 hour less. Then find the speed of the car and the train respectively ?

8. Rajesh kumar has to travel 65 km. He travels the first 20 km on foot at a speed of 5 km/h and the remaining by car. If he travels the first 27 km by car and the remaining at speed of 5 km/h on foot then he takes 1 hour 36 min more time. Then find the speed of the car ?

9. A bus travels 700 km at a certain speed. If the bus driver reduces the speed of bus by 20 km/h then the bus will take four hours more to travel the same distance. Then find the initial speed of the bus ?

10.Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometres as the second, and the second as many kilometres as the first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida?

11. A motorcyclist left point A for point B. Two hours later, another motorcyclist left A for B and arrived at B at the same time as the first motorcyclist. Had both the motorcyclists started simultaneously from A and B travelling towards each other, they would have met in 80 minutes. How much time did it take the faster motorcyclist to travel from A to B?

12. Two people started simultaneously towards each other from A and B, which are 60 km apart. They met 5 hours later. After their meeting, the first person, who travelled from A to B, decreased his speed by 1.5 km/h and the other person, who travelled from B to A, increased his speed by 1.5 km/ h. The first person is known to arrive at B 2.5 hours earlier than the second person arrived at A. Find the initial speed of the first person :

13. Two friends started walking simultaneously from points A and B towards each other. 144 minutes later the distance between them was 20% of the original distance. How many hours does it take the faster walker to cover the distance AB if he needs eight hours less to travel the distance than his friend (assume all times to be in whole numbers and in hours) ?

14. A pedestrian and a cyclist left A for B at the same time. Having reached B, the cyclist turned back and met the pedestrian an hour after the start. After their meeting, the pedestrian continued his trip to B and the cyclist turned back and also headed for B. Having reached B the cyclist turned back again and met the pedestrain 30 mins after their first meeting. Determine what time it takes the pedestrian to cover the distance between A and B :

15. Rohit left A for B at 6 a.m. An hour and a half later Vimal, whose speed was 5 km/h higher than that of Rohit left A. At 10 : 30 p.m. of the same day the distance between the two friends was 21 km. Find the speed of Vimal :

16. A car travelled first 36 km at 6 km/h faster than the usual speed, but it returned the same distance at 6 km/h slower than the usual speed. If the total time taken by car is 8 hours, for how many hours does it travelled at the faster speed?

17. Walking at four- fifths of his usual speed Rajesh kumar reached his office 15 minutes late on a particular day. The next day, he walked at 5/4 of his usual speed. How early would he be to the office when compared with the previous day ?

18. Soniya and Priyanka started from A and B for B and A, which are 645 km apart. They meet after 15 hours. After their meeting, Sonia increased her speed by 3 km/h and Priyanka reduced her speed by 3 km/h, they arrived at B and A respectively at the same time. What is their initial speeds ?

19. Rajesh kumar had to cover a distance of 60 km. However, he started 6 minutes later than his scheduled time and raced at speed 1 km/h higher than his originally planned speed and reached the finish at the time he would reach it if he began to race strictly at the appointed time and raced with the assumed speed. Find the speed at which he travelled during the journey described :

20. Rajesh kumar covered a distance of 96 km two hours faster than he had planned to. This he achieved by travelling 1 km more every hour that he intended to cover every 1 hour 15 minutes. What was the speed at which Rajesh kumar travelled during the journey?