Question

A train and a car start together from a point. The train's speed is 80 kmph and the car's speed is 60% of the train's speed. The train crosses a station every 15 minutes. How much distance will the car travel in the time the train takes to cross 3 stations? (Assume constant distance between consecutive stations)

• A. 45 km
• B. 54 km
• C. 48 km
• D. 36 km

Answer 1

The correct option is D

36 km

First we need to find the speed of the car according to the given question the speed of the car is 80 $\times$ 0.6 = 48 kmph
Now the distance covered by the train in 15 minutes is equal to $\frac{15}{60}\times 80=20km$
Now, the distance between 3 stations is 20 $\times$ 3 = 60 km
Since distance is directly proportional to the speed ​
$\frac{48}{80}=\frac{x}{60}$
Hence, x = 36 km