Raju travels at half of his usual speed and reaches his office 24 minutes late than his usual time. If Raju travels at his usual speed, then what will be the time taken by him to reach his office?

Raju travels at half of his usual speed and reaches his office 24 minutes late than his usual time. If Raju travels at his usual speed, then what will be the time taken by him to reach his office? Correct Answer 24 minutes

Given:

Raju travels half of his speed so that he was late for 24 minutes.

Formula used:

Distance = Speed × Time

Time ∝ (1/Speed)

Calculation:

Let his speed be x and time is t

As per the question, it says he travels half of his usual speed

So, his speed will be (x/2)

Now, according to the formula, we can say, when speed will become half then time will be doubled

So, the new time will be 2t

Now, again according to the question, we can say

2t - t = 24

⇒ t = 24

∴ His usual time to reach the office is 24 minutes.

Shortcut Trick

Formula used:

 Usual time =

Here, Late time = 24 minutes, (x/y) = 1/2

Usual time =

⇒ Usual time =

⇒ Usual time = 24/1 = 24

∴ His usual time to reach the office is 24 minutes.