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The workers in a factory produce widgets and whoosits. For each product, production time is constant and identical for all workers, but not necessarily equal for the two products. In one hour, 100 workers can produce 300 widgets and 200 whoosits. In two hours, 60 workers can produce 240 widgets and 300 whoosits. In three hours, 50 workers can produce 150 widgets and m whoosits. Find m.

 Jan 10, 2019
 #1
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m = 450   

 Jan 10, 2019
edited by ElectricPavlov  Jan 10, 2019
 #2
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1st.group: 3 widgets per worker + 2 whoosits
2nd group: 2 widgets per worker + 2.5 whoosits.
3rd group: 1 widgets per worker + m whoosits.
A decrease in widgets from 3 to 2 per hour, or 1/3, leads to an increase 2.5/2 =25% in whoosits production. 
Therefore, a decrease from 3 to 1, or 2/3, leads to an increase 
of : (2/3) / (1/3) x 25% =50% increase in whoosits. Or:
1.5% x 2 =3 per hour per worker, for a total:
m = 3 x 3 hours x 50 workers = 450 whoosits.

 Jan 11, 2019

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