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A and B are two stations 380 km apart. A man starts from A at 5.30 a.m
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Bunuel
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A and B are two stations 380 km apart. A man starts from A at 5.30 a.m [#permalink] New post  29 Jan 2021, 05:45
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A and B are two stations 380 km apart. A man starts from A at 5.30 a.m. and travels towards B at 70 km/h. Another scooterist starts from B at 6.30 a.m. and travels towards A at 85 km/h. At what time do they meet ?

(A) 8.00 a.m.
(B) 8.30 a.m.
(C) 9.30 a.m.
(D) 10.00 a.m.
(E) 11.00 a.m.
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Re: A and B are two stations 380 km apart. A man starts from A at 5.30 a.m [#permalink] New post  29 Jan 2021, 05:54
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Bunuel wrote:
A and B are two stations 380 km apart. A man starts from A at 5.30 a.m. and travels towards B at 70 km/h. Another scooterist starts from B at 6.30 a.m. and travels towards A at 85 km/h. At what time do they meet ?

(A) 8.00 a.m.
(B) 8.30 a.m.
(C) 9.30 a.m.
(D) 10.00 a.m.
(E) 11.00 a.m.


Distance travelled by A from 5:30 to 6:30 = 70 km

Remaining distance between A and B now = 380-70 = 310

Relative speed (opposite direction) = 70+85 = 155 km/hr

\(Time = \frac{Distance }{ Speed} = \frac{310}{155} = 2\) hours

Time of meeting = 2 hours after 6:30 Am

i.e. 8:30 AM



Answer: Option B
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