A bus covers the first half of a total distance with a speed of 50 m/s and then covers the second half of the distance with a speed of 60 m/s. Find the average speed of the bus over the entire trip.
Question
A bus covers the first half of a total distance with a speed of 50 m/s and then covers the second half of the distance with a speed of 60 m/s. Find the average speed of the bus over the entire trip.
Solution
To find the average speed of the bus over the entire trip, we need to use the formula for average speed, which is total distance divided by total time.
Let's assume the total distance the bus travels is D. The first half of the distance is D/2 and the second half of the distance is also D/2.
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Calculate the time it takes to cover the first half of the distance: Time = Distance / Speed Time1 = (D/2) / 50
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Calculate the time it takes to cover the second half of the distance: Time2 = (D/2) / 60
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Add the two times together to get the total time: Total Time = Time1 + Time2
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Now, we can calculate the average speed: Average Speed = Total Distance / Total Time Average Speed = D / (Time1 + Time2)
This will give you the average speed of the bus over the entire trip.
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