51). A man riding a bicycle from his house at 10 km/h and reaches his office late by 6 min. He increases his speed by 2 km/h and reaches 6 min before. How far is the office from his house?
| A). 6 km |
| B). 7 km |
| C). 12 km |
| D). 16 km |
|
52). A person can walk a certain distance and drive back in 6 h. He can also walk both ways in 10 h. How much time will he take to drive both ways?
| A). 2 h |
| B). \( 2 \frac{1}{2} h \) |
| C). \( 5 \frac{1}{2} h\) |
| D). 4 h |
|
53). Two men A and B travel from point P to Q, a distance of 84 km at 12 km/h and 16 km/h, respectively. B reaches Q and returns immediately and meets A at R. Find the distance from P to R.
| A). 72 km |
| B). 76 km |
| C). 78 km |
| D). 68 km |
|
54). A thief is spotted by a policeman from a distance of 200 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief be 16 km/h and that of the policeman be 20 km/h, how far the thief will have run before he is overtaken?
| A). 800 m |
| B). 850 m |
| C). 700 m |
| D). 650 m |
|
55). A person sets out to cycle from A to B and at the same time another person starts from B to A. After passing each other, they complete their journeys in 16 h and 25 h, respectively. Find the ratio of speeds of the 1st man to that of the 2nd man.
| A). 5:4 |
| B). 5:3 |
| C). 4:5 |
| D). 3:5 |
|
56). John started from A to B and Vinod from B to A. If the distance between A and B is 125 km and they meet at 75 km from A, what is the ratio of John's speed to that of Vinod's speed?
| A). 2 : 3 |
| B). 3 : 2 |
| C). 4 : 3 |
| D). 5 : 4 |
|
57). A certain distance is covered at a certain speed. If half of this distance is covered in 4 times of the time, then find the ratio of the two Speeds.
| A). 1 : 8 |
| B). 1 : 4 |
| C). 4 : 1 |
| D). 8 : 1 |
|
58). A man covers half of his journey at 6 km/h and the remaining half at 3 km/h. Find his average speed.
| A). 3 km/h |
| B). 4 km/h |
| C). 4.5 km/h |
| D). 9 km/h |
|
59). A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 56 min will be covered by A in
| A). \( \Large 5 \frac{1}{3} min \) |
| B). \( \Large 2 \frac{1}{3} min \) |
| C). \( \Large 7 \frac{1}{3} min \) |
| D). \( \Large 9 \frac{1}{3} min \) |
|
60). Shantanu drives a motorcycle and covers a distance of 715 km at a constant speed. If the speed of the motorcycle had been 10 km/h more, he would have taken 2 h less to cover the same distance. What is the original speed of the motorcycle?
| A). 65 km/h |
| B). 55 km/h |
| C). 60 km/h |
| D). 36 km/h |
|
