Carl and Mike start a 3 mile race at the same time If Mike r

Carl and Mike start a 3 mile race at the same time. If Mike ran the race at 6 miles per hour and finishes the race 10 minutes before Carl, how fast does Carl run?

Solution

Distance = 3 miles

Speed of Mike = 6 miles/hour

Time taken by Mike = Distance/Speed = 3/6 = 1/2 hour = 30 minutes

Mike finished 10 minutes before Carl, so time taken by Carl = 40 minutes

Speed of Carl = Distance/Time(by Carl) = 3miles/(40/60 hours) = 4.5 miles/hour