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1. A train which is moving at an average speed of 40 km/h reaches its destination on time. When its average speed reduces to 35 km/h, then it reaches its destination 15 minutes late. The distance traveled by the train is?

A. 70 km

B. 80 km

C. 40 km

D. 30 km

Solution:

\begin{aligned} Average speed of train \\ =  40 km/hr \\ Reach at its destination at on time \\ New average speed of train \\ =  35 km/h \\ Time  =  15 minutes \\ = \frac{15}{60} hours \\ Then distance travelled \\ = \frac{40 \times 35}{40 - 35} \times \frac{15}{60} \\ = \frac{40 \times 35}{5} \times \frac{15}{60} \\ =  70 km \end{aligned}

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