Question 6

# With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 30 km/hr, it is late by 36 minutes. The total distance travelled by train is :

Solution

Let us consider with average speed of 40 km/hr, train reached its destination in time t hrs

with average speed of 30 km/hr, it takes t +$$\frac{36}{60}$$ hrs

Distance will be same in both the cases

40t = 30t + 18

10t = 18

t = $$\frac{18}{10}$$

Distance = 40t = 40$$\times\ \frac{18}{10}$$ = 72 km

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