A man walking at a speed of 8 km/hr covers a certain distance in 1 hour 45…

2025

A man walking at a speed of 8 km/hr covers a certain distance in 1 hour 45 minutes. If he runs at a speed of 10 km/hr, in what time he will cover the same distance?

  1. A.

    74 minutes

  2. B.

    44 minutes

  3. C.

    80 minutes

  4. D.

    84 minutes

Attempted by 8 students.

Show answer & explanation

Correct answer: D

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 = 8 km/hr

    • Time taken = 1 hour 45 minutes

    • Convert time to hours: 1 hour + 45/60 hours = 1 + 0.75 = 1.75 hours (or 7/4 hours).

    • Distance = Speed * Time = 8 * (7/4) = 14 km.

  2. Calculate the time taken for the new speed:

    • New speed (running) = 10 km/hr

    • Time = Distance / New Speed

    • Time = 14 / 10 = 1.4 hours.

  3. Convert the time back to minutes:

    • 1.4 hours * 60 minutes/hour = 84 minutes.

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