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23 December, 13:55

A bus travels the 100 miles between A and B at 50 mi/h and then another 100 miles between B and C at 70 mi/h.

The average speed of the bus for the entire 200-mile trip is:

a. More than 60 mi/h.

b. Equal to 60 mi/h.

c. Less than 60 mi/h.

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  1. 23 December, 14:03
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    c. less than 60 mi/h

    Explanation:

    To calculate the average speed of the bus, we need to calculate the total distance traveled by the bus, as well as the total time of travel of the bus.

    Total Distance Traveled = S = 100 mi + 100 mi

    S = 200 mi

    Now, for total time, we calculate the times for both speeds from A to b and then B to C, separately and add them.

    Total Time = t = Time from A to B + Time from B to C

    t = (100 mi) / (50 mi/h) + (100 mi) (70 mi/h)

    t = 2 h + 1.43 h

    t = 3.43 h

    Now, the average speed of bus will be given as:

    Average Speed = V = S/t

    V = 200 mi/3.43 h

    V = 58.33 mi/h

    It is clear from this answer that the correct option is:

    c. less than 60 mi/h
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