Walking at 3/4 of his usual speed, a man is 16 min late for his office. the…
2023
Walking at 3/4 of his usual speed, a man is 16 min late for his office. the usual time taken by him to cover that distance is.
- A.
48 minutes
- B.
60 minutes
- C.
42 minutes
- D.
62 minutes
Attempted by 25 students.
Show answer & explanation
Correct answer: A
Let the usual time to cover the distance be T minutes.
Walking at three quarters of the usual speed means the time taken is multiplied by four thirds, so the new time is (4/3)T.
The increase in time is given as 16 minutes, so set up the equation: (4/3)T - T = 16.
Simplify the left side: (1/3)T = 16.
Multiply both sides by 3 to find T = 48 minutes.
Answer: 48 minutes.