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Every week, Renee is paid $40 per hour for the first 40 hour [#permalink]
25 Aug 2018, 15:28

Expert's post

00:00

Question Stats:

62% (01:47) correct
37% (01:04) wrong based on 16 sessions

Every week, Renee is paid $40 per hour for the first 40 hours she works, and $80 per hour for each hour she works after the first 40 hours. How many hours would Renee have to work in one week to earn an average (arithmetic mean) of $60 per hour that week?

Re: Every week, Renee is paid $40 per hour for the first 40 hour [#permalink]
02 Sep 2018, 21:26

For the first 40 hrs she earns $40 per hr hence she should work for the first 40 hrs. Her income on that would be $1600 For each hr more she will earn $80. Hence, let the extra hrs she works be x then for that she earns 80x.

By question, \(\frac{80x + 1600}{40+x} = 60\) solve for x; x = 40 Therefore, total hrs she has to work for the week to earn $60 avg would be 80 hrs.
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Re: Every week, Renee is paid $40 per hour for the first 40 hour [#permalink]
15 Oct 2018, 09:04

Renee makes $40*40 hours=$1600 in first 40 hours Let 't' be the no of hours Renee would work. Given, Renee makes $80 per hour for each hour she works after the first 40 hours. So, she makes an additional pay $80*(t-40)hours for every hour after 40 hours.

So, 1600+80(t−40)t=601600+80(t−40)t=60 Or, 1600+80t-3200=60t Or, 20t=1600 or, t=80 hours