CET Time, Speed and Distance Questions with Solutions – Page 5

A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/hr. He was then chased by a policeman X. X started the chase, 15 min after the thief had started, at a speed of 65 km/hr. If another policeman had started the same chase along with X, but at a speed of 60 km/hr, then how far behind was he when X caught the thief?

Deep inside a jungle, a deer and a tiger are joyfully playing. The deer notices that it is 40 steps away from the tiger and starts running towards it. At the same time, the tiger starts running away. For every five steps the deer takes, the tiger takes six. However, the deer takes two steps to cover the distance that the tiger covers in three. In how many steps can the deer catch the tiger?

In a 4000 m race around a circular track of circumference 1000 m, the fastest and the slowest runners meet for the first time after the start at the end of the 5th minute. If the fastest runner runs at twice the speed of the slowest, in how much time will the fastest runner finish the race?

A motorist covers a distance of 39 km in 45 minutes by moving at a speed of x kmph for the first 15 minutes, then moving at a double the speed for the next 20 minutes and then again moving at his original speed for the rest of the journey. Then, x is equal to :