Places A and B are 100 km apart on a highway. One car starts from A and another

from B at the same time. If the cars travel in the same direction at different speeds,

they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What

are the speeds of the two cars?

LET THE SPEED OF 1 CAR BE X & OTHER BE Y

DIST COVERED BY A IN 5 HR. = 5 * X = 5X

DIST COVERED BY B IN 5 HR = 5Y

A/Q WHEN THEY TRAVEL IN SAME DIRECTION

THEN 5X - 5Y = 100 => X -Y =20 .....(!)

NOW, DIST COVERED BY A IN 1 HR = X

DIST COVERED BY B IN 1 HR = Y

WHEN THEY TRAVEL TOWARDS EACH OTHER

THEN

A/Q, X +Y =100 ......(2)

NOW (!) - (2) = ( X -Y)-( X +Y)=20 - 100

=> 2Y = 80 HENCE Y = 40 KM /HR.

AND X= 20 +Y = 60 KM/HR