SOLUTION: 5 men, 20 women and 40 boys can do a piece of work in 120 days working 6 hrs a day. In how many days will 10 men, 10 women and 20 boys do the same work working 9 hrs a day? a) 16

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 5 men, 20 women and 40 boys can do a piece of work in 120 days working 6 hrs a day. In how many days will 10 men, 10 women and 20 boys do the same work working 9 hrs a day? a) 16      Log On


   



Question 1039339: 5 men, 20 women and 40 boys can do a piece of work in 120 days working 6 hrs a day. In how many days will 10 men, 10 women and 20 boys do the same work working 9 hrs a day?
a) 160 days b) 100 days c) 240 days d) none of these

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
You have 5 men, 20 women, and 40 boys. 10 men, 10 women, and 20 boys gives you twice the men, but 1/2 the women and boys. 2x1/2x1/2=1/2 of the work force you had before, thereby doubling the amount of days. But, your workday is longer by 3/2, so you need 2/3 the time of your first work day. 2/3x240=160 days needed to do the piece of work!!!!!!!!!!!