Time & Distance Test 4

1. A hare is 400 his own leaps ahead from a hound. A hound takes 4 leaps for every 6 leaps of a hare. The hare and a hound covers the distance in one leap 1.5m and 2.5 m respectively. Then find how many leaps will the hound take to catch the hare :

2. A car driver is driving a car at a speed of 60 km/hr, and he saw a bus 175 m ahead which is 125 m behind after 54 seconds. Then find the speed of bus?

3. A triangular track showed in the given figure. Two men P and Q start at the same time from A and reaches to D. It is found that P reaches to D, 1 hour later than Q. If P and Q replaces his speed then P reaches to D 2 2/3 hours later than Q. Then find the speed of P and Q :

4. Two men start at the same time in opposite direction from A and B which is 135 km apart. A man who is moving from A to B travels 12.5 km in first hr, 11.5 km in second hour, 10.5 km in IIIrd hour and moving ahead in the same way. The other man who is moving ahead from B to A travels 15 km in first hour, 14 km in second hour, 13 km in third hr and moving ahead in the same way. After how many hours and how much distance from A they will meet each other?

5. A pedestrian and cyclist start simultaneously towards each other from A and B which are 40 km apart and meet 2 hours after the start. Then they resumed their trips and the cyclist arrives at A, 7 hours 30 minutes earlier than the pedestrian arrives at B. Which of these could be the speed of the pedestrian?

6. Two ants start simultaneously from two ant holes towards each other. The first ant covers 8% of the distance between the two ant holes in 3 hours, the second ant covered 7/120 of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second ant if the first ant travelled 800 feet to the meeting point :

7. Karim, a tourist leaves Delhi on a bicycle.Having travelled for 1.5 h at 16 km/h, he makes a stop for 1.5 h and then pedals on with the same speed. Four hours after Karim started, his friend and local guide Rahim leaves Delhi on a motorcycle and rides with a speed of 28 km/h in the same direction as Karim had gone. What distance will they cover before Rahim overtakes Karim:

8. A cyclist left point A for point B and travelled at the constant speed of 25 km/h. When he covered the distance of 8.33 km, he was overtaken by a car that left point A, 12 minutes after the cyclist and travelled at a constant speed too. When the cyclist travelled another 30 km, he encountered the car returning from B. Assume that the car did not stop at point B. Find the distance between A and B :

9. Two cars left points A and B simultaneously, travelling towards each other. 9 hours after their meeting, the car travelling from A arrived at B, and 16 hours after their meeting, the car travelling from B arrived at A. How many hours did it take the slower car to cover the whole distance ?

10. Amar and Akbar left Delhi simultaneously and travelled towards Goa. Amar’s speed was 15 km/h and that of Akbar was 12 km/h. Half an hour later, Anthony left Delhi and travelled in the same direction. Some time later, he overtook Akbar 90 minutes after he overtook Amar. Find Anthony’s speed :

11. A man goes from Mysore to Bangalore at a uniform speed of 40 km/hr and comes back to Mysore at a uniform speed of 60 km/hr. His average speed for the whole journey is

12. A man completed a certain journey by a car. If he covered 30 % of the distance at the speed of 20 km/hr, 60 % of the distance at 40 km/hr and the remaining distance at 10 km/ hr his average speed for the whole journey was :

13. A man has to travel 200 km. In starting he travels 50 km at a speed of 40 km/h. After this every 50 km he travels 5 km/ h faster than the previous speed. At the time of returning first 50 km he travels at a speed of 10 km/hr. After this every 50 km he travels 10 km/ h faster than the previous speed. Then find the average speed of the man during the whole journey?

14. A and B are two friends. A lives at a place P and B lives at another place Q. Everyday A goes to Q to meet B at 120 km/h. Thus, he takes 3 hours. On a particular day B started to meet A so he moved towards P. On that day A took only 2 hours to meet B on the way instead at Q.

15. Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hours before the second horse reaches A. If the distance between A and B is 50 km. What is the speed of the slower horse?

16. Rajesh kumar and Bhuvnesh leave towns Kolkata and Ambala at 6 am and travel towards Ambala and Kolkata respectively. Speed of Rajesh kumar is 60 km/h and speed of Bhuvnesh is 120 km/h. Pawan leaves Kolkata for Ambala sometime later and travels at a speed of 90 km/h. If the distance between Kolkata and Ambala is 1080 km and all three meet at the same point on the way, at same time, then at what time did pawan leave Kolkata?

17. Rajesh kumar and Bhuvnesh started from two places A and B towards B and A respectively at 8 : 20 am. The speeds of Rajesh kumar and Bhuvnesh are in the ratio of 4 : 5. They meet at C, somewhere between A and B, spent some-time together enjoyed tea and Samosa andthen both started towards theirdestination at 9 : 27 am. If Rajesh kumar reaches B at 10: 32 am, how much time did they spend together?

18. Rajesh kumar and Bhuvnesh start from A and B towards B and A respectively, at the same time. After they meet at C on the way from A to B, Rajesh kumar reduces his speed by 33.33% and returns to A and Bhuvnesh increases his speed by 33.33% and returns to B. If Rajesh kumar takes 2 hours for the entire journey, what is the time taken by Bhuvnesh for the entire journey?

19. A dog is 50 of its own leaps behind a cat. The dog takes 5 leaps per minute to the cat’s 4. If the dog and the cat cover 8 m and 5 m per leap respectively, what distance will the dog have to run before it catches the cat?

20. A thief sees a jeep at a distance of 250 m, coming towards him at 36 km/h. Thief takes 5 seconds to realise that there is nothing but the police is approaching him by the jeep and start running away from police at 54 km/h. But police realise after 10 seconds, when the thief starts running away, that he is actually a thief and gives chase at 72 km/h. How long after thief saw police did police catchup with him and what is the distance police had to travel to do so?