Travelling at three - fourth of his normal speed John reaches his office late…
2025
Travelling at three - fourth of his normal speed John reaches his office late by 16 minutes . Find the time taken by John to reach his office if he travels at his normal speed .
- A.
42 min
- B.
48 min
- C.
52 min
- D.
50 min
Attempted by 26 students.
Show answer & explanation
Correct answer: B
Answer: 48 minutes
Let the normal time taken to reach the office be T minutes.
When John travels at three-fourths of his normal speed, his travel time increases by a factor of 4/3, so the travel time becomes (4/3)T minutes.
The extra time taken is (4/3)T − T = T/3, and this is given as 16 minutes.
So set up the equation T/3 = 16 ⇒ T = 16 × 3 = 48 minutes.
Therefore, at his normal speed John takes 48 minutes to reach his office.