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Problem solving

by Noman » Sat Jan 23, 2016 8:25 am
need explanation
in a factory one worker can produce one piece of m in 15 minutes & one piece n in 20 minutes. how many workers are needed to produce 200 units of m & 300 units of n in exactly 10 hours?
A.12 B.15 C.18 D.20 E.22
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by MartyMurray » Sun Jan 24, 2016 4:32 am
Noman wrote: In a factory one worker can produce one piece of m in 15 minutes & one piece n in 20 minutes.
Translate that sentence.

A worker can produce 4m per hour and a worker can produce 3n per hour.
how many workers are needed to produce 200 units of m & 300 units of n in exactly 10 hours?
Figure out the number of worker hours needed.

For the 200 units of m: 200/4 = 50 worker hours

For the 300 units of m: 300/3 = 100 worker hours

Divide the total worker hours by the hours available to find the number of workers needed.

(50 + 100)/10 = 15

The correct answer is B.
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