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 he speed of car P ?
Answer: Option B
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Let their speeds be `x` kmph and y kmph respectively.
Then `(120)/(x + y) = 1 rArr x + y = 120 ..................................(I)
Now , when hey move in same direction :
(Distance travelled by P in 6 hrs) - (Distance travelled by Q in 6 hrs.) = 120 km
`rArr 6x - 6y = 120 rArr x - y = 20 ..............................................(II)
Solving (I) and (II) , `x = 70, y = 50.`
`:.` P's speed = 70 kmph.
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