Question
Download Solution PDFTwo cities A and B are 135 km apart on a straight track. One car starts from A at 8 a.m. and travels towards B at 25 km/h. Another car starts from B at 9 a.m. and travels towards A at a speed of 30 km/h. At what time will they meet?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is (11a.m.)
Key Points -
Suppose they meet after x hours after 8 a.m.
Distance covered by A after x hours = 25x km.
Distance covered by B after (x-1) hours =30(x-1) km.
\(Distance = Time * speed\)
135 = 25x + 30(x-1)
135 = 25x + 30x - 30
135 = 55x - 30
135 + 30 = 55x
165/55 = x
i.e , x = 3 hours
The two cars will meet after 3 hours ; 8a.m. + 3hours = 11 a.m.
HENCE ,THE CORRECT ANSWER IS 11 A.M.
Last updated on Jun 25, 2025
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