Question : A car travels 20% slower than a train. Both start from point A at the same time and reach point B 240 km away at the same time. On the way, the train takes 48 minutes for stopping at the stations. What is the speed (in km/hr) of the car?
Option 1: 80
Option 2: 100
Option 3: 120
Option 4: 60
Correct Answer: 60
Solution : Let the speed of the train be $V$. The speed of the car is 20% less than the train = $0.8V$ According to the question, $\frac{240}{0.8V}-\frac{240}{V}=\frac{48}{60}$ [Use: Time = $\frac{\text{Distance}}{\text{Speed}}$] ⇒ $\frac{300-240}{V}=\frac{48}{60}$ ⇒ $\frac{60}{V}=\frac{48}{60}$ ⇒ $V$ = 75 Speed of the car is $0.8V$ = 0.8 × 75 = 60 km/hr Hence, the correct answer is 60.
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