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A bus can travel 20% faster than a scooter. Both start from point Pat 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?
68 km/h
80 km/h
60 km/h
72 km/h
- Both the bus and scooter start together from point P and travel to point Q, which is 60 km away.
- The bus is 20% faster than the scooter.
- However, the bus stops for 10 minutes during the journey.
- Both arrive at the same time, showing the bus compensated for its stoppage with a higher speed.
Calculations:
- Let the speed of the scooter be x km/h. Therefore, the bus's speed is 1.2x km/h.
- Time taken by the scooter = 60x hours.
- Time taken by the bus = 601.2x + 1060 (convert 10 minutes to hours).
- Both times must be equal: 60x=601.2x+16.
- Solving gives x=60 km/h, making the bus's speed 1.2×60=72 km/h.
Correct Answer: Option 4 - 72 km/h
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