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Wendy, Yvonne, and Elizabeth are baking cookies for a bake s
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23 Apr 2020, 10:16
23 Apr 2020, 10:16
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Question Stats:
76% (02:05) correct
23% (02:20) wrong based on 30 sessions
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Wendy, Yvonne, and Elizabeth are baking cookies for a bake sale. Wendy can bake all of the cookies in 10 hours, Yvonne can bake half of the cookies in 3 hours, and Elizabeth can bake a third of the cookies in 5 hours. If Wendy and Elizabeth bake for 2 hours, how long will it take Yvonne to finish baking the rest of the cookies?
A. 1.8
B. 2
C. 3
D. 3.6
E. 4
A. 1.8
B. 2
C. 3
D. 3.6
E. 4
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Re: Wendy, Yvonne, and Elizabeth are baking cookies for a bake s
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03 Feb 2021, 04:56
03 Feb 2021, 04:56
Wendy = 10 hours (All cookies)
Yvonne = 6 hours (All cookies)
Elizabeth = 15 hours (All cookies)
In 2 hours;
Wendy made 1/5th of cookies
Elizabeth made 2/15th of cookies
So they together have finished 1/5 + 2/15 of the work i.e. 1/3rd of total work
Now, for Yvonne
Work left = 1 - 1/3 = 2/3
Rate = 1/6
T = W/R = (2/3) / (1/6) = 4 hours
Hence, option E
Yvonne = 6 hours (All cookies)
Elizabeth = 15 hours (All cookies)
In 2 hours;
Wendy made 1/5th of cookies
Elizabeth made 2/15th of cookies
So they together have finished 1/5 + 2/15 of the work i.e. 1/3rd of total work
Now, for Yvonne
Work left = 1 - 1/3 = 2/3
Rate = 1/6
T = W/R = (2/3) / (1/6) = 4 hours
Hence, option E
gmatclubot
Re: Wendy, Yvonne, and Elizabeth are baking cookies for a bake s [#permalink]
03 Feb 2021, 04:56
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