A bus is going to Coimbatore from Kochi. With 4 stops of 15 minutes each, the average speed of the bus comes o

Question

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 60 km/hr . How far is Coimbatore from Kochi?

Accepted Answer

Let the total distance between Kochi and Coimbatore be

D km

.
1. Without stops:
* Speed =

60 km/hr

* Time taken (

T_{1}

) =

\frac{D}{60} hours

2. With stops:
* Total stoppage time =

4 \times 15 minutes = 60 minutes = 1 hour

* Total time taken (

T_{2}

) =

T_{1} + 1 = (\frac{D}{60} + 1) hours

* Average speed with stops =

50 km/hr

We know that:

Distance = Average speed with stops \times Total time with stops

D = 50 \times (\frac{D}{60} + 1)

D = \frac{50 D}{60} + 50

D = \frac{5 D}{60} + 50 ⟹ D - \frac{5 D}{6} = 50

\frac{D}{6} = 50 ⟹ D = 300 km

Thus, Coimbatore is

300 km

away from Kochi.

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 $60 km/hr$ . How far is Coimbatore from Kochi?

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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 50km/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?