Precalculus word problem

Question

Acme movers charges $60 plus $30 per hour to move household goods across town. Hank’s Movers chargers $45 per hour. for what lengths of time does it cost less to hire hank’s movers?

Answer 1

C_A = 30t + 60

C_H = 45t

Set C_A equal to C_H: 30t + 60 = 45t. 60 = 15t; t = 4 hours

Acme costs more prior to 4 hours; Costs are equal at 4 hours; Acme costs less after 4 hours

It costs less to hire Hank's Movers prior and equal to 4 hours