7 men and 3 women complete the work together in 10 days. 8 men and 2 women complete the same work In 8 days. How much work can be done by 10 men in one day?
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Answer:
Step-by-step explanation:
let x and y part of work is done in one day by each man and women respectively
and w is complete work
then
(7x+3y)*10=w-------(1)
and (8x+2y)*8=w------(2)
from (1) and (2)
70x+30y=64x+16y
6x=14y
y=6x/14=3x/7
from (1)
70x+30y=w
70x+30*3x/7=w
x/7(490+90)=w
580x/7=w
x=w.7/580
work done by 10 man 10*w*7/580=7w/58
So 10 man can complete in one day the 7/58th part of work
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