Walking at the rate of 4 kmph a man cover a certain distance in 2 hr 45 min.…

2025

Walking at the rate of 4 kmph a man cover a certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.

  1. A.

    A. 12 min

  2. B.

    B. 40 min

  3. C.

    C. 50 min

  4. D.

    D. 60 min

Attempted by 7 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution

To find the time taken at a new speed for the same distance, we follow these steps:

  1. Calculate the total distance:

    • Walking speed = 4 kmph

    • Time taken = 2 hours and 45 minutes

    • Convert time to hours: 2 hours + 45/60 hours = 2 + 0.75 = 2.75 hours (or 11/4 hours).

    • Distance = Speed × Time = 4 × (11/4) = 11 km.

  2. Calculate the time taken for the new speed:

    • New speed = 16.5 kmph

    • Time = Distance / New Speed

    • Time = 11 / 16.5

    • To simplify, multiply both numerator and denominator by 10: 110 / 165

    • Dividing both by 55: 2 / 3 hours.

  3. Convert the time back to minutes:

    • (2/3) hours × 60 minutes/hour = 40 minutes.

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