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A man walking at three-fourth of his usual speed, reaches his office 4 minutes late. How much time (in minutes) does he usually take to reach his office?

  1. A
    12
  2. B
    10
  3. C
    14
  4. D
    11

Solution & Step-by-step Explanation

Since the distance to the office remains constant, the speed and time are inversely proportional to each other.
Ratio of speeds (Usual : New)=1:
4
3

=4:3
Ratio of times taken (Usual : New)=3:4
Let the usual time be 3t and the new time be 4t.
The difference between the new time and usual time is given as 4 minutes:

4t−3t=4⟹t=4 minutes
The usual time taken by him to reach his office is:

Usual time=3t=3×4=12 minutes

Practice this question

Try it yourself before checking the explanation above.

A man walking at three-fourth of his usual speed, reaches his office 4 minutes late. How much time (in minutes) does he usually take to reach his office?
A
12
B
10
C
14
D
11

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