Question

A man starts from a place P and reaches the place Q in 7 hours. He travels 1/4^th of the distance at 10 km/hr and the remaining distance at 12 km/hr. Find the distance between P and Q.
1. 60 km
2. 40 km
3. 48 km
4. 80 km

Answer 1

Correct Answer - Option 4 : 80 km

Given:

Time taken to cover distance between P and Q = 7 hours

Speed for (1/4)th of the distance = 10 km/hr

Speed for remaining distance = 12 km/hr

Formula used:

Time = Distance/Speed

Calculation:

Let distance be 4x km

According to question,

⇒ (x/10) + (3x/12) = 7

⇒ 21x/60 = 7

⇒ x = 20

Total distance = 4x = 4 × 20 = 80 km

∴ The total distance between P and Q is 80 km