Question

A cat, running at a speed of 54 km/h and positioned 240 meters ahead of a dog, can be caught by the dog in 6(2/3) seconds. Determine the time it takes for the dog to overtake a bus traveling at 21 m/s. The bus can pass a stationary man in 21(2/3) seconds, and there is no initial separation between the bus and the dog. (Note: The lengths of the cat and the dog are considered negligible.)

Q: Answer-A cat, running at a speed of 54 km/h and positioned 240 meters ahead of a dog, can be caught by the...

ATQ, Speed of the Cat 54 518 15 ms Distance covered by the dog in 623 seconds 240 distance covered by the cat in 623 seconds 240 15 203 240 100 340 metres So, speed of the dog 340 203 51 ms Relative speed of the dog with respect to the bus 51 21 30 ms Length of the bus 2123 21 653 21 455 metres So, time taken by the dog to overtake the bus 45530 916 seconds