Problema Solution

it took joe 7 hours to drive to a football game. On the way home he was able to increase his speed by 18 mph and make the return drive 5 hours. find his average speed on the return drive

Answer provided by our tutors

let


v = the average speed when driving to the football game

v + 18 = the average speed when driving back


we will use the formula average speed = distance/time => distance = avg.speed*time


since the distance back and forth is the same we can write


7*v = 5(v + 18)


by solving we find


v = 45 mph


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v + 18 = 45 + 18 = 63 mph


the average speed on the return drive is 63 mph.