A bus is going to Coimbatore from Kochi. With 4 stops of 15 minutes each, the average speed of the bus comes out to be 50 km/hr. But if the driver takes the bus without any stops, the average speed comes out to be 60km/hr. How far is Coimbatore from Kochi

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  1. 2900 km
  2. 300 km
  3. 220 km
  4. 250 km

Answer (Detailed Solution Below)

Option 2 : 300 km
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Detailed Solution

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Formula used:

Average Speed = Total Distance / Total Time

Calculations:

Let the distance between Coimbatore and Kochi be D km.

When there are no stops:

Average Speed = 60 km/hr

Total Time = D/60 hours

When there are 4 stops of 15 minutes each (total 1 hour of stops):

Average Speed = 50 km/hr

Total Time = (D/50) hours

Total Time with stops = Total Travel Time + Total Stop Time

⇒ (D/50) = (D/60) + 1

⇒ 60D = 50D + 3000

⇒ 10D = 3000

⇒ D = 300 km

∴ The correct answer is 300 km.

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