Question

A mother left her child at Bus stop 'P' in a bus station

Q: Answer-A mother left her child at Bus stop 'P' in a bus station at 6:00 a.m. Four hours later, a bus depart...

ATQ, Let the distance between Bus stop A and B be k km Since, the Child flew from Bust stop A to Stop B, the bus is moving downhill from point A to B. Let the speed of the Bus be b kmh and speed of the downhill road be a kmh Distance covered by the child in first 4 hours 4a km k - 4a a b - a 4 Or, k - 4a 4k So, k 4b a ...... I Now, since the bus and the child both reach Bus stop Q together, we have ka b kb - a ka - 4 Or, kk4 kb - a ka - 4 Using equation I Or, 4 kb - a da - 4 Or, 8 ka - kb - a Or, 8 k 1a - 1b - a Or, 8 4 a b b - a - a ab - a2 Or, 2 ab - a2 a b b - 2a Or, 2ab - 2a2 ab - 2a2 b2- 2ab Or, 2ab b2- ab Or, 3ab b2 So, 3a b So, k 4 a 3a So, k 16a So, time taken by the bus to reach Bust stop B ka 16a a 16 hrs

at 6:00 a.m. Four hours later, a bus departed from Bus stop 'Q' to Bus stop 'P' and passed the child after an additional 4 hours. Upon reaching Bus stop 'P', the bus promptly turned around and headed back to Bus stop 'Q'. If the bus and the child arrived at Bus stop 'Q' simultaneously, what was the time when the child reached Bus stop 'Q'?

A 15 hrs

B 25 hrs

C 16 hrs

D 22 hrs

E none of these

Practice Next

A mother left her child at Bus stop 'P' in a bus station

Solution

Relevant for Exams: