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4 April, 13:19

During the first 20 mile of a 50 mile bicycle race rogers average speed was 16mi/h. What must his average speed be during the remainder of the race if he is to finish the race in less than 2.5 h

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  1. 4 April, 14:09
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    His average speed has to be greater than 24 miles per hour to finish the race in less than 2.5 h

    Step-by-step explanation:

    Step 1

    Determine the expression for calculating the speed, distance and time as follows;

    D=S*T

    where;

    D=distance covered in miles

    S=speed in miles per hour

    T=time in hours

    Step 2

    Using the expression above, determine the time taken to travel 20 miles as shown;

    Rearranging the expression;

    T=D/S

    where;

    D=20 miles

    S=16 miles/hour

    replacing;

    T = (20/16) = 1.25 hours

    Step 3

    The expression for the remaining time you need to take to finish the rate in less than 2.5 h

    remaining time = (2.5 h-1.25 h) = 1.25 h

    The remaining time has to be less than 1.25 h

    Step 4

    Determine the expression for calculating the remaining distance to be covered as follows;

    Remaining distance=Total distance-distance traveled

    where;

    Total distance=50 miles

    distance traveled=20 miles

    replacing;

    Remaining distance = (50-20) = 30 miles

    Step 3

    Rogers average speed has to be expressed as shown to finish in less than 2.5 h

    Average speed>remaining distance/remaining time

    where;

    remaining distance=30 miles

    remaining tile=1.25 h

    replacing;

    Average speed> (30/1.25) = 24 miles per hour

    His average speed has to be greater than 24 miles per hour to finish the race in less than 2.5 h
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