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