Question

Walking at two-third of his usual speed, Virat is 8 minutes late in reaching school. What is the usual time taken by Virat to reach school?

1. 10 minutes
2. 16 minutes
3. 20 minutes
4. 8 minutes

Answer 1

Correct Answer - Option 2 : 16 minutes

Given:

Late to reach school = 8 min

Concept:

Speed × Time = Distance

Calculation:

Let, usual time taken by Virat to reach school = k minutes

Let, Virat’s usual speed = x km/min

According to the question,

⇒ x × k = (2/3) × x × (k + 8)

⇒ 3k = 2 × (k + 8)

⇒ 3k = 2k + 16

⇒ k = 16

∴ Usual time taken by Virat to reach school = 16 minutes