Question
Download Solution PDFA 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
Answer (Detailed Solution Below)
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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