Multiple choice

There is a road besides a river. Two friends Ram and Shyam started from a place A, moved to a temple situated at another place B and then returned to A again. Ram moves on a cycle at a speed of 12 km/h, while Shyam sails on a boat at a speed of 10 km/h. If the river flows at the speed of 4 km/h, which of the two friends will return to place A first?

  1. Ram

  2. Shyam

  3. Both will return simultaneously

  4. Cannot be determined

  5. None of these
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A Correct answer
AI explanation

Let the distance between the places be D. Ram takes total time of 2D divided by 12, which is D/6 hours. For Shyam, the effective downstream speed is 10 plus 4 equaling 14 km/h, and the upstream speed is 10 minus 4 equaling 6 km/h, making his total time D/14 plus D/6, which simplifies to 10D/42 or 5D/21 hours. Comparing the times, D/6 is less than 5D/21, so Ram returns to place A first.

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