A piece of work can be done by 8 men or 12 boys in 20 days. How long will it be taken by 6 men and 6 boys to complete the work ?
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The rate at which men are working
1 day = 1/20
1 man = 1/20 divide by 8 = 1/160
The rate at which the boys are working
1 day = 1/20
1 boy = 1/20 divide by 12 = 1/240
6 men and 6 boys = 6x 1/160 + 6x 1/240
= 1/16 per day
Number of days = 1 divide by 1/16 = 16 days
1 day = 1/20
1 man = 1/20 divide by 8 = 1/160
The rate at which the boys are working
1 day = 1/20
1 boy = 1/20 divide by 12 = 1/240
6 men and 6 boys = 6x 1/160 + 6x 1/240
= 1/16 per day
Number of days = 1 divide by 1/16 = 16 days
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