Multiple choice

Speed of a boat in still water is 54 kmph. The boat travels a distance of 120 km against the stream in 2 hours and 24 minutes. In how much time will that boat cover the same distance along the stream?

  1. 3.5 hours

  2. 2 4 58 hours

  3. 4 3 7 hours

  4. 5.5 hours

  5. None of these
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B Correct answer
AI explanation

The boat travels 120 km upstream in 2.4 hours (since 2 hours 24 minutes is 2 + 24/60 hours), so the upstream speed is 120 divided by 2.4, which is 50 km/hr. Using the upstream speed formula, the speed of the stream is the boat's speed in still water minus the upstream speed: 54 km/hr minus 50 km/hr equals 4 km/hr. The downstream speed is the boat's speed plus the stream's speed, giving 54 + 4 = 58 km/hr. The time to cover 120 km downstream is 120 divided by 58, which is 60/29 hours.

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