Question:

A boat travels upstream from A to B and back from B to A in 5 hours. The speed of the boat in still water is 8 km/hour and the speed of the current is 4 km/hour. Then, the distance from A to B is ..............

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In round trip stream problems, calculate upstream and downstream speeds first, then add their times for one distance each to match the total time given.
Updated On: Aug 14, 2025
  • 10 kms
  • 2.9 kms
  • 12 kms
  • 15 kms
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The Correct Option is D

Solution and Explanation

Speed of the boat in still water = 8 km/hr, speed of current = 4 km/hr.
Upstream speed = \( 8 - 4 = 4 \) km/hr.
Downstream speed = \( 8 + 4 = 12 \) km/hr.
Let the distance from A to B be \( d \) km.
Total time for the round trip is 5 hours: \[ \frac{d}{4} + \frac{d}{12} = 5 \] Taking LCM (12): \[ \frac{3d + d}{12} = 5 \] \[ \frac{4d}{12} = 5 \] \[ \frac{d}{3} = 5 $\Rightarrow$ d = 15 \] So the distance between A and B is 15 km.
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