Question

Tyrell needs to call a plumber. RotoPlumb charges $75 for the first half hour of the work and $30 for each additional half hour. Just Plumbing charges $45 for every half hour of work. Which plumbing company should Tyrell

Choose if the job takes the given amount of time?

1 hour   

6 hours

For what time will both companies charge the same amount.

Answer 1

Solution:

Step1

Roto plumb charges

For first half hour of work $75

Additional half hour of work $30

Charge for 1 hour of work will be

= $75+$30

= $105

Charge for 6 hour of work will be

=$75+11×$30

=$75+$330

=$405

Step2

Just plumbing charges

For every half hour of work $45

For 1 hour of work charge will be

=2×$45

=$90

For 6 hour of work charge will be

=12×$45

=$540

Step 3

For 1 hour of work Rotoplumb charges $105 and just plumbing charges $95 so for 1 hour of work Tyrell should choose just plumbing and

For 6 hour of work Rotoplumb charges $405 and just plumbing charges $540 so Tyrell should choose Rotoplumb for 6 hour of work

Step 4

For 1and half hour Rotoplumb will charge

=$75+2×$30

=$75+$60

=$135

And just planning will charge

=3×$45

=$135

So for one and half of work they both will charge same $135.