Question

Train and 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

First we need to find the speed of the car. According to the given question, the speed of the car is $80\times 0.6=48kmph$
Now the distance covered by the train in 15 minutes = $\frac{15}{60}\times 80$ = 20km
Now, the distance between 3 stations is 20x3 = 60 km
Since distance is directly proportional to the speed ​
$\frac{48}{80}$ = $\frac{x}{60}$
Hence, x = 36 km