Question

Acme Movers charges $175 plus $40 per hour to move household goods across town. Hank’s Movers charges $75 per hour. For what lengths of time does it cost less to hire Hank’s Movers?

Answer 1

If the time is less than 5 hours cost less to hire Hank’s Movers

Explanation:

Let

y -----> charge to move household goods across town.

x ----> number of hours

we know that

Acme Movers

y=40x+175 ------> equation A

Hank’s Movers

y=75x ------> equation B

Equate equation A and equation B

75x=40x+175

solve for x

75x-40x=175

35x=175

x=5 hours

For x=5 hours the charge is the same in both company

therefore

For x < 5 hours cost less to hire Hank’s Movers