Question

Kunal completes a certain journey in 14 hours. He covers (1/4)th of the distance travel at 16 km/h and the rest at 8 km/h. Find the total journey travelled by him.
1. 128 km
2. 100 km
3. 200 km
4. 50 km

Answer 1

Correct Answer - Option 1 : 128 km

Given:

(1/4)th of a journey travel with speed = 16 km/h

(3/4)th of a journey travel with speed = 8 km/h

Total time taken to cover the journey = 14 hours

Formula used:

Time = Distance/Speed

Calculation:

Let the total distance is x km

⇒ [(x/4)]/16] + [(3x/4)/8] = 14

⇒ (x/64) + (3x/32) = 14

⇒ (x + 6x)/64 = 14

⇒ 7x/64 = 14

⇒ x = (14 × 64)/7

⇒ x = 128 km

Total distance travel by train is 128 km