Question
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 towards B), then P meets Q after 6 hours. What is the speed of car P?
Answer: Option B
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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 km6x - 6y = 120 => x - y = 20 --- (ii)Sloving (i) and (ii), we get x = 70, y = 50P's speed = 70 km/hr.
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