Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after… — Answer & Discussion

Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A toward

A60 km/hr
B70 km/hr
C120 km/hr
DData inadequate

Correct answer: B

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Discussion 1

CCommunity28 Jun 2021

70 km/hr

Let their speed be x km/hr and y km/he respectively.
Then, 120/(x + y) = 1 => x + y = 120 --- (i)
Now, when they move in same direction:
(Distance traveled by P in 6 hrs) - (Distance traveled by Q in 6 hrs) = 120 km
6x - 6y = 120 => x - y = 20 --- (ii)
Sloving (i) and (ii), we get x = 70, y = 50
P's speed = 70 km/hr.