# 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. 23jazzy says:

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;

where;

Total distance=6 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