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A bus covers a distance in 50 minutes if it runs at 48 km/h on an average. The speed at which the bus must run to reduce the time of journey to 40 minutes will be
- a)50 km/h
- b)55 km/h
- c)60 km/h
- d)70 km/h
Correct answer is option 'C'. Can you explain this answer?
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A bus covers a distance in 50 minutes if it runs at 48 km/h on an aver...
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To solve this problem, we can use the formula:
Speed = Distance / Time
Given that the distance is constant, we can rearrange the formula to solve for time:
Time = Distance / Speed
First, let's calculate the distance covered by the bus in 50 minutes:
Speed = 48 km/h
Time = 50 minutes = 50/60 hours = 5/6 hours
Using the formula, we can calculate the distance:
Distance = Speed * Time
Distance = 48 km/h * 5/6 h
Distance = 40 km
Now, let's find the speed at which the bus must run to reduce the time of the journey to 40 minutes:
Time = 40 minutes = 40/60 hours = 2/3 hours
Using the formula, we can calculate the speed:
Speed = Distance / Time
Speed = 40 km / 2/3 h
Speed = 40 km * 3/2 h
Speed = 60 km/h
Therefore, the speed at which the bus must run to reduce the time of the journey to 40 minutes is 60 km/h, which corresponds to option C.
Speed = Distance / Time
Given that the distance is constant, we can rearrange the formula to solve for time:
Time = Distance / Speed
First, let's calculate the distance covered by the bus in 50 minutes:
Speed = 48 km/h
Time = 50 minutes = 50/60 hours = 5/6 hours
Using the formula, we can calculate the distance:
Distance = Speed * Time
Distance = 48 km/h * 5/6 h
Distance = 40 km
Now, let's find the speed at which the bus must run to reduce the time of the journey to 40 minutes:
Time = 40 minutes = 40/60 hours = 2/3 hours
Using the formula, we can calculate the speed:
Speed = Distance / Time
Speed = 40 km / 2/3 h
Speed = 40 km * 3/2 h
Speed = 60 km/h
Therefore, the speed at which the bus must run to reduce the time of the journey to 40 minutes is 60 km/h, which corresponds to option C.
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A bus covers a distance in 50 minutes if it runs at 48 km/h on an average. The speed at which the bus must run to reduce the time of journey to 40 minutes will bea)50 km/hb)55 km/hc)60 km/hd)70 km/hCorrect answer is option 'C'. Can you explain this answer?
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