   # What is the distance of the journey ?

+1 vote
106 views

A and B start at the same time with speeds of 40 km/hour and 50 km/hour respectively.
If in covering the journey, A taken 15 minutes longer than B, what is the distance of the journey ? posted May 2, 2014

let time taken by a be x
b be y
Speed of a =40 kmph = 11.11 m/s
Speed of b = 50 kmph = 13.89 m/s
And x = y+900

11.11 = distance / x-----------(1)
13.89 = distance / y-----------(2)
frm 1 and 2,
11.11*x = 13.89*y
x = 1.25 y
So 1.25y = y + 900
y = 3600
putting y = 3600 in eqn 2 we get
distance = 50000 m = 50 km answer Jan 27, 2015

Similar Puzzles

A man always keeps a spare tyre in his car. To make full use of all the five tyres, he changes the tyres in a manner that for a distance of 1, 00,000 km, each of them runs the same distance.

Can you calculate the distance traveled by each tyre in that journey ?

–1 vote

A coach covers its outward journey at 50 mph.

It returns, over exactly the same distance at 33.3333 mph.

What is the average speed of the coach over the entire journey?

The rate of autometres in Baroda are given below
For first 2 km Rs 25/- is fixed and every next km Rs 8/- per km.
What will be the total length of journey for which average is Rs 10/- per km ?