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Melinda and Shirley worked together to make hamburger patties. Shirley

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Melinda and Shirley worked together to make hamburger patties. Shirley  [#permalink]

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New post 10 Oct 2019, 00:24
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Melinda and Shirley worked together to make hamburger patties. Shirley worked for 1 hour and 45 minutes, Melinda worked for 45 minutes, and they split their earnings according to the amount of time each spent working. Melinda's hourly rate, however, is twice that of Shirley's. If the two together earned $48.75, what was Shirley's hourly rate?

A. $15
B. $20
C. $25
D. $30
E. $35

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Re: Melinda and Shirley worked together to make hamburger patties. Shirley  [#permalink]

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New post 12 Oct 2019, 07:17
Bunuel wrote:
Melinda and Shirley worked together to make hamburger patties. Shirley worked for 1 hour and 45 minutes, Melinda worked for 45 minutes, and they split their earnings according to the amount of time each spent working. Melinda`s hourly rate, however, is twice that of Shirley`s. If the two together earned $48.75, what was Shirley`s hourly rate?

A. $15
B. $20
C. $25
D. $30
E. $35


Shirley's time = 1 hour 45 min = 7/4 hours
Melinda's time = 3/4 hours

Let the Shirley's hourly rate = x
--> Melinda's hourly rate = 2x

Total earning = 48.75
--> \(\frac{7}{4}*x + \frac{3}{4}*2x = 48.75\)
--> \(\frac{13}{4}*x = 48.75\)
--> \(x = 48.75*\frac{4}{13} = \frac{195}{13} = 15\)

Shirley's hourly rate = x = $15

IMO Option A
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Re: Melinda and Shirley worked together to make hamburger patties. Shirley   [#permalink] 12 Oct 2019, 07:17
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Melinda and Shirley worked together to make hamburger patties. Shirley

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