Correct Answer - Option 2 : 60 minutes
Given:
The man reaches the office late by 30 minutes
Formula used:
Distance = Speed × Time
Concept used:
Speed is inversely proportional to the time taken
Calculation:
Let the distance from the office and home be x and original speed be y
Then, the Original time is taken = x/y
Decreased speed = 2y/3
Time is taken when speed is decreased = Distance/Speed = x/(2y/3)
Now, A/Q
x/(2y/3) – x/y = 30
⇒ 3x/2y – x/y = 30
⇒ x/2y = 30
⇒ x/y = 30 × 2 = 60 minutes
∴ The actual time is taken by the man to reach the office is 60 minutes