Question : A bus can travel 20% faster than a scooter. Both start from point P at the same time and reach point Q, 60 km away from point P, at the same time. On the way, however, the bus lost about 10 minutes while stopping at bus stations, while the scooter did not stop anywhere. What is the speed of the bus?
Option 1: 68 km/hr
Option 2: 80 km/hr
Option 3: 60 km/hr
Option 4: 72 km/hr
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Correct Answer: 72 km/hr
Solution :
Given: A bus can travel 20% faster than a scooter.
Let the scooter's speed be $x$ km/hr
So, the speed of the bus = $1.2x$ km/hr
Use the formula, $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$
According to the question,
$\frac{60}{x}–\frac{60}{1.2x}=\frac{10}{60}$
⇒ $\frac{7.2–6}{1.2x}=\frac{1}{60}$
⇒ $\frac{1.2}{1.2x}=\frac{1}{60}$
⇒ $x=60$ km/hr
The speed of the bus = $1.2x=1.2\times 60=72$ km/hr
Hence, the correct answer is 72 km/hr.
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