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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: - Mathematics

MCQ

Choose the most appropriate option.

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:

Options

  • 9 kms.

  • 10 kms.

  • 15 kms

  • 12 kms

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Solution

15 kms

Explanation:

Speed of the boat in still water = 8 km/hr

Speed of the current = 4 km/hr

∴ Speed downstream = 8 + 4 = 12 km/hr

Speed upstream = 8 − 4 = 4 km/hr

Let the distance between A and B be x.

Then,

`"x"/12+"x"/4=4`    `("x"+3"x")/12=5`

`∴(4"x")/12=5`

`∴"x"=(12xx5)/4=15` km

Concept: Time, Distance and Speed(Entrance Exam)
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