Answer:
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
