Question

Ashok completes a journey in 7 hours. He travels the first half of the journey at the speed of 24 km/h and the second half of it at the speed of 32 km/h. The total distance of the journey is:
1. 194 km
2. 188 km
3. 190 km
4. 192 km

Answer 1

Correct Answer - Option 4 : 192 km

Given:

Total time of journey = 7 hrs

Speed of Ashok in first half = 24 km/h

Speed of Ashok in second half = 32 km/h

Formula used:

Distance = speed × time

Calculation:

Let total distance be 2x

Time₁ = Distance/speed

⇒ x/24 hrs

Time₂ = Distance/speed

⇒ x/32 hrs

Total time = (Time₁ + Time₂)

⇒ 7 = (x/24 + x/32)

⇒ 7 = (4x + 3x)/96

⇒ 7 = (7x/96)

⇒ x = 96 km

Total distance = 2x

⇒ (2 × 96)

⇒ 192 km

∴ Total distance covered by Ashok is 192 km