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A train can travel 20% faster than a bus. Both start from the point A at the same time and reach point B 75 km away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. Find the speed of the bus in km/hr. 
  • a)
    50 km/hr
  • b)
    55 km/hr
  • c)
    60 km/hr
  • d)
    65 km/hr
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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A train can travel 20% faster than a bus. Both start from the point A ...
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A train can travel 20% faster than a bus. Both start from the point A ...
To solve this problem, we can use the formula: Speed = Distance/Time.

Let's assume the speed of the bus is x km/hr. Since the train is 20% faster than the bus, the speed of the train would be (1 + 20/100)x = (6/5)x km/hr.

We know that both the train and the bus take the same time to travel from point A to point B, despite the train losing 12.5 minutes while stopping at the stations.

Let's calculate the time taken by the bus and the train separately:

Time taken by the bus = Distance/Speed = 75/x
Time taken by the train = Distance/Speed = 75/((6/5)x)

Since the time taken by both is the same, we can equate the two equations:

75/x = 75/((6/5)x)

We can cross multiply:

75 * (6/5)x = 75 * x

Simplifying:

6x = 5x

x = 0

This means that the speed of the bus is 0 km/hr, which doesn't make sense.

Therefore, there is an error in the question.

The correct answer cannot be determined based on the given information.
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A train can travel 20% faster than a bus. Both start from the point A at the same time and reach point B 75 km away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. Find the speed of the bus in km/hr.a)50 km/hrb)55 km/hrc)60 km/hrd)65 km/hre)None of theseCorrect answer is option 'C'. Can you explain this answer?
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