SOLUTION: A certain piece of work can be completed by 40 worker in 40 days. if 5 works leave every 10 days, in how many days d work will be completed? (a) 170/3 days (b) 121/2 days (c) 75

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A certain piece of work can be completed by 40 worker in 40 days. if 5 works leave every 10 days, in how many days d work will be completed? (a) 170/3 days (b) 121/2 days (c) 75      Log On


   



Question 546489: A certain piece of work can be completed by 40 worker in 40 days. if 5 works leave every 10 days, in how many days d work will be completed?
(a) 170/3 days
(b) 121/2 days
(c) 75 days
(d) 55 days

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A certain piece of work can be completed by 40 worker in 40 days.
If 5 workers leave every 10 days, in how many days d work will be completed?
:
Find the no. of man-days required to completed: 40 * 40 = 1600 man-days
:
Day--mandays-total mandays
10---400---400
20---350---750
30---300---1050
40---250---1300
50---200---1500
:
After 50 days:
1500 man-hrs have been accumulated, 15 men on the job then, 100 more man-days required
15d = 100
d = 100/15
d - 62%2F3 days
total days: 562%2F3 days, which is a in the given answers