Question

Ranajyoti walks at a speed of 24 kmph. During winter, due to cold he walked at ${\frac{3}{4}}^{th}$ of his average speed. He arrived at his school 20 minutes late. What is the actual time he takes to cover distance between his home and his school?

• A. 40 mins
• B. 45 mins
• C. 60 mins
• D. 55 mins
• E. 30 mins

Answer 1

The correct option is C

60 mins

If Ranajyoti is walking at $\frac{3}{4}$ th of his usual speed, that means he is taking $\frac{4}{3}$ of actual time.

$\Rightarrow$ $\frac{4}{3}$ of actual time - actual time = 20 mins

$\Rightarrow$ $\frac{1}{3}$ of actual time = 20 mins

$\Rightarrow$ Actual time = 60 mins