Question

Places a and b are 200 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 speed, they meet in 10 hours. Find the speed of the two cars.

Answer 1

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

DIST COVERED BY A IN 10 HR. = 10 * X = 10X

DIST COVERED BY B IN 10 HR = 10Y

A/Q WHEN THEY TRAVEL IN SAME DIRECTION

THEN 10X - 10Y = 200 => 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 =200 ......(2)

NOW (!) - (2) = ( X -Y)-( X +Y)=20 - 200

=> 2Y = 180 HENCE Y = 90 KM /HR.

AND X= 20 +Y =110 KM/HR