Walking at 3/7th part of his usual speed, A man will reach his office at 9:06…

2023

Walking at 3/7th part of his usual speed, A man will reach his office at 9:06 AM instead of 8:50 AM. What is the usual time taken by him to reach his office (in minutes)?

  1. A.

    15

  2. B.

    6

  3. C.

    12

  4. D.

    10

Attempted by 2 students.

Show answer & explanation

Correct answer: C

Step-by-Step Solution

To solve this problem, we use the principle that speed and time are inversely proportional when the distance remains constant.

  1. Understand the relationship:

    • If the speed becomes 3/7 of the usual speed, the time taken will become 7/3 of the usual time.

  2. Calculate the time difference:

    • The man reaches the office at 9:06 AM instead of 8:50 AM, which is a delay of 16 minutes.

    • In terms of usual time (T), the new time is (7/3)T.

    • The difference is (7/3)T - T = 16 minutes.

  3. Solve for the usual time (T):

    • (4/3)T = 16

    • T = 16 * (3 / 4)

    • T = 4 * 3

    • T = 12 minutes.

Explore the full course: Amcat Preparation