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 ?

+1 vote

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 ?

+3 votes

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**

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