A boat travels 50 km in 10 hours in upstream whereas 60 km in 4 hours in…

2025

A boat travels 50 km in 10 hours in upstream whereas 60 km in 4 hours in downstream. Find the speed of the stream (in kmph).

  1. A.

    5

  2. B.

    6

  3. C.

    10

  4. D.

    12

Attempted by 1 students.

Show answer & explanation

Correct answer: A

Step-by-Step Solution

To find the speed of the stream, we first calculate the upstream and downstream speeds of the boat.

  1. Calculate speeds:

    • Upstream speed (U - V) = Distance / Time = 50 km / 10 hours = 5 kmph.

    • Downstream speed (U + V) = Distance / Time = 60 km / 4 hours = 15 kmph.

  2. Use the stream speed formula:

    • The speed of the stream (V) is half the difference between the downstream and upstream speeds.

    • V = (Downstream speed - Upstream speed) / 2

    • V = (15 - 5) / 2

    • V = 10 / 2

    • V = 5 kmph.

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