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 betweeen 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
$\frac{60}{100}\times 80=48kmph$

We know that Distance = Speed x Time
Distance covered by the train in 15 minutes
= $\frac{15}{60}\times 80$

= 20 km

Therefore, the distance covered by the train to cross 3 stations is
20 x 3 = 60 km

This is the same distance that has to be covered by the car as well.
Since distance is directly proportional to the speed,

$\frac{80}{60}$ = $\frac{48}{x}$

$x=\frac{48\times 60}{80}=36km$

Therefore, the distance travelled by the car in the time the train takes to cross 3 stations is 36 km.