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Question

Alex and Brian run a marathon. Alex starts first and Brian starts 7 hours after Alex at twice the speed of Alex. Brian takes an hour of rest every 2nd hour for an hour. After how long does Brian reach to Alex?

A
21 hours
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B
28 hours
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C
14 hours
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D
35 hours
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Solution

The correct option is B 28 hours
Let us say, 1 unit distance is traveled by Alex in 1 hour. Therefore, 2 units of distance is traveled by Brian in 1 hour.

At 7 hours, Brian is at 0 distance from his starting.
Alex is 7 units at this point.

Brian travels for 2 hours and rests for 1 hour; so, he covers 4 units in 3 hours.

In the same time, Alex covers 3 units.
So, every 3 hours, Brian comes 1 unit closer to Alex.

Time taken to cover 7 units = 21 hours
Since Brian started 7 hours late, total time = 28 hours

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