Question

Michael drove from home to work at an average speed of 45 mph. His return trip home took 45 minutes longer because he could only drive at 35 mph. Find the distance from his home to his work.

Answer 1

The distance from his home to his work place is 118.125 miles

How to find the distance from his home to his work place?

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

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