Question

Manoj travels from City A to City B. If Manoj drives his ear at 3/5 of his normal speed, then he reaches City B 10 minutes late. Find the time (in minutes) that Manoj would have taken to travel from City A to City B if he drove at his normal speed.

• A. 17
• B. 11
• C. 24
• D. 15

Answer 1

Answer:

D. 15

Let the normal time taken = (t) minutes.

Speed–Time relation

If speed becomes $( \frac{3}{5} )$ of normal, time becomes:
$\frac{5}{3} \times t$

Given condition

$\frac{5}{3}t = t + 10$

Solve

$\frac{5}{3}t - t = 10$
$\frac{2}{3}t = 10$

$t = 10 \times \frac{3}{2} = 15$
Final Answer: 15 minutes