Correct Answer - Option 1 :
\(2\dfrac{1}{4}\) hours
Given:
Current speed = \(\dfrac{3}{4}\) of usual speed
He is late by 45 minutes
Formula used:
Speed = Distance/Time
When Distance is constant
Speed ∝ 1/Time
Calculation:
Here distance to his is constant
The ratio of the usual speed and the current speed is 4 : 3
The ratio of time usual time and the current time is 3 : 4
The difference between time is
4x - 3x = 45 minutes
⇒ x = 45 minutes
His usual time is
3 × 45
⇒ 135 minutes = \(2\dfrac{1}{4}\) hours
∴ His usual time to reach the office is \(2\dfrac{1}{4}\) hours.
