A bus travelling at 80 km/h completes a journey in 14 hours. At what speed will it have to cover the same distance in 20 hours?

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  1. 48 km/h
  2. 51 km/h
  3. 53 km/h
  4. 56 km/h

Answer (Detailed Solution Below)

Option 4 : 56 km/h
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Detailed Solution

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Given:

Initial Speed = 80 km/h

Time taken at initial speed = 14 hours

Time taken at new speed = 20 hours

Formula used:

Distance = Speed × Time

Since the distance is the same for both cases:

New Speed = \(\dfrac{\text{Initial Speed} \times \text{Initial Time}}{\text{New Time}}\)

Calculation:

New Speed = \(\dfrac{80 \times 14}{20}\)

⇒ New Speed = \(\dfrac{1120}{20}\)

⇒ New Speed = 56 km/h

∴ The correct answer is option (4).

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