Mr.Olly's Car needs repairs.

Question

Mr.Olly's car needs repairs. Honest Hank will charge him 70 dollars per hour and an additional 30 dollars for service parts and Handy Hal will charge him 80 dollars per hour and an additional 40 dollars for service parts. How many hours need to go by in order for the total cost to be the same from both repair shops?

Answer 1

When are the costs the same for both shops? Never, unless you allow negative time, with time going backwards.

Cost with Hank is C=30+70H

Cost with Hal is K=40+80H

to be the same set C=K

or 30+70H=40+80H solve for H

80H-70H=30-40

10H=-10

H=-1 hour

Handy Hall is always more expensive

Unless in some Twilight Zone alternative universe, where time goes backwards, then negative one hour would make the costs the same

At time zero, Hal already wants $10 more for parts. Each hour Hall charges another $10 more than Hank. As time goes on Hall gets ever more expensive than Hank.

Mr Olly should go with Honest Hank, unless Handy Hal has better service.