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The time taken by a boat to travel 13 km downstream is the same as time taken by it to travel 7 km upstream. If the speed of the stream is 3 km/h, then how much time (in hours) -

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Question

The time taken by a boat to travel 13 km downstream is the same as time taken by it to travel 7 km upstream. If the speed of the stream is 3 km/h, then how much time (in hours) will it take· to travel a distance of 44.8 km in still water?

Options

  • `4 13/25`

  • `5 2/5`

  • `5 3/5`

  • `4 12/25`

MCQ

Solution

`4 12/25`

Explanation:

`13/((x + 3)) = 7/((x - 3))`

`13x - 39 = 7x + 21`

`6x = 60`

`x` = 10 kmph

t = `44.8/10 = 4 12/25` hour

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Boats and Streams (Entrance Exam)
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