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 in 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

Speed of the train = 80 kmph
Given, car's speed is 60% of the train's speed
Therefore, speed of the car is
$\frac{60}{100}\times 80=48kmph$

Time taken by the train to cross one station = $15$ minutes
Time taken by the train to cross 3 stations = $15\times 3=45$ minutes

Distance travelled by car in 1 minute = $\frac{48}{60}$ = $\frac{4}{5}$ km
So, distance travelled by car in 45 minutes = $\frac{4\times 45}{5}$ = 36 km