Search max ran a race i was 6 miles long he ran 1/3 of a mile in 1/6 of an hour he ran at the same pace

Search max ran a race i was 6 miles long he ran 1/3 of a mile in 1/6 of an hour he ran at the same pace entire time how many hours did it take him to run the race

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  1. It took Max 3 hours to run the race

    Step-by-step explanation:

    Step 1

    The expression for the speed at which max runs can be given as;

    S=D/t

    where;

    S=speed in miles per hour

    D=distance traveled in miles

    t=time taken

    In our case;

    S=unknown

    D=(1/3) of a mile=1/3 miles

    t=1/6 hours

    replacing;

    S=(1/3)÷(1/6)=(1/3)×(6/1)=2 miles per hour

    The speed Max runs=2 miles per hour

    Step 2

    Calculate the remaining distance to complete the race as shown;

    Remaining distance=Total distance-distance already covered

    where;

    Total distance=6 miles

    distance already covered=1/3 miles

    replacing;

    Remaining distance=6-(1/3)=5 2/3 miles

    Step 3

    The expression for the total time he takes to finish the race is given as;

    Time=Distance/speed

    where;

    Distance=6 miles

    speed=2 miles per hour

    replacing;

    Time=6/2=3 hours

    It took Max 3 hours to run the race

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