Question : A bus travels for three hours at 60 km/hr, four hours at 50 km/hr, and the next five hours at 50 km/hr. Find its average speed.
Option 1: 52.5 km/hr
Option 2: 52 km/hr
Option 3: 46 km/hr
Option 4: 50 km/hr
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Correct Answer: 52.5 km/hr
Solution :
Given: A bus travels for three hours at $60$ km/hr, four hours at $50$ km/hr, and the next five hours at $50$ km/hr.
Total distance travelled by the bus = $(60×3)+(50×4)+(50×5) = 630$ km
Total time taken by the bus = $(3+4+5) = 12$ hours
We know,
$\text{Average speed}=\frac{\text{Total distance}}{{\text{Total time}}}$
Therefore, the average speed = $\frac{630}{12}=52.5$ km/hr
Hence, the correct answer is 52.5 km/hr.
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