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?
- A12
- B10
- C14
- D11
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
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