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1234567890lknn
27.06.2019 •
Mathematics
Two men and 7 women can together do a piece of work in 4 days. it is done by 4 men and 4 women in 3 days. how long would it take for one man or one woman to do the work
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Ответ:
12 days
Step-by-step explanation:
Time taken by one man = x days , and that by 1 boy = y days
work done in 1 day by one man = 1/x
work done in 1 day by one boy= 1/y
work done by 2 men in one day = 2/x
work done by 7 boys in one day = 7/y
2/x + 7/y = 1/4 > [ 1]
work done by 4 men in one day = 4/x
work done by 4 boys in one day = 4/y
4/x + 4/y = 1/3 > [2]
Multiplying equation 1 by , 2 ,
2(2/x + 7/y = 1/4 )
= 4/x + 14/y = 1/2 ---> [3]
solving equations 2 and 3
4/x + 4/y = 1/3
- 4/x + 14/y = 1/2
-10/y = 2-3/6
-10/y = -1/6
-1/6y = -10
y = -10 × 6/-1
= 60
2/x + 7/y = 1/4
2/x + 7/60 = 1/4
7/60 - 1/4 = -2/x
-8/60 = -2/x
-120 = -8x
x = -120/-8
x = 15
Time taken by 1 man to do the whole job = 15 days
time taken by 1 boy to do the whole job = 60 days
time taken by one boy and one man to do one day's work = 1/60 + 1/15
= 1/60 + 4/60
= 5/60 = 1/12
Together they can do it in 12 days !
Ответ:
answer:
The length of the fence is 6.28x-150 cm. Step-by-step explanation: ... Since the pool is in a circular shape so the circumference will be the length of the fence.