Max ran a race that 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?

Answer:It took Max 3 hours to run the raceStep-by-step explanation:Step 1The expression for the speed at which max runs can be given as;S=D/twhere;S=speed in miles per hourD=distance traveled in milest=time takenIn our case;S=unknownD=(1/3) of a mile=1/3 milest=1/6 hoursreplacing;S=(1/3)÷(1/6)=(1/3)×(6/1)=2 miles per hourThe speed Max runs=2 miles per hourStep 2Calculate the remaining distance to complete the race as shown;Remaining distance=Total distance-distance already coveredwhere;Total distance=6 milesdistance already covered=1/3 milesreplacing;Remaining distance=6-(1/3)=5 2/3 milesStep 3The expression for the total time he takes to finish the race is given as;Time=Distance/speedwhere;Distance=6 milesspeed=2 miles per hourreplacing;Time=6/2=3 hoursIt took Max 3 hours to run the race