A contractor employed 200 men to finish 5/6 of
total work in 10 days, due to rain the work was
stopped & 2/5 of work was also destroyed, after
rain only 150 men come on work. In how many
days the whole work will be completed.
Answers
Answer:
Given 5/6 work is completed by 200 workers in 10 weeks
Therefore in 1 week they will be able to complete 5/60 = 1/12 of work.
So 1 man will be able to complete 1/2400 work in 1 week.
Now because of rain half of completed work is washed away.
Therefore completed work will be 5/6 x 1/2 = 5/12
Let the remaining work be p
Therefore p + 5/12 = 1
Or p = 1 – 5/12
Or p = 7/12
According to the question 140 men are available to complete the remaining work.
So work completed in 1 7/120 q = p
will be 1/2400 x 140 = 7/120
Now let q weeks are required to finish the work.
Then 7/120 q = p
7/120 q = 7/12
Or q = 120 / 12
Or q = 10 weeks.
Therefore total time required to complete the work in 10 week will be
10 + 4 + 10 = 24 weeks
Step-by-step explanation:
Answer:
Answer provided above......
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