Asked by PT
Janet can mix a batch of cookie dough in 30 minutes. Miya can mix a batch of cookie dough in 45 minutes. Bella can’t cook, and slows down everybody he works with to half-speed. How many minutes will it take the three of them working together to mix a batch of cookie dough?
Answers
Answered by
Reiny
Janet's rate ---- 1/30 batches per minute, but with Bella there only 1/60
Miya's rate ---- 1/45 bpm, but with Bella there only 1/90
combined rate = 1/60 + 1/90 + 0 = 1/36
time with all 3 working = 1/(1/36) = 36 minutes
Strange wording and strange question. You mean all 3 have their hands in the same batch of dough?
Just because Bella can't cook would have no effect on his ability to mix dough.
Miya's rate ---- 1/45 bpm, but with Bella there only 1/90
combined rate = 1/60 + 1/90 + 0 = 1/36
time with all 3 working = 1/(1/36) = 36 minutes
Strange wording and strange question. You mean all 3 have their hands in the same batch of dough?
Just because Bella can't cook would have no effect on his ability to mix dough.
Answered by
Henry2,
1/T = 1/(2*30) + 1/(2*45).
1/T = 1/60 + 1/90 = 3/180 + 2/180 = 5/180,
T = 180/5 = 36 min.
Or T = 60*90/(60+90) = 36 min.
1/T = 1/60 + 1/90 = 3/180 + 2/180 = 5/180,
T = 180/5 = 36 min.
Or T = 60*90/(60+90) = 36 min.
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