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3. If 3 men or 4 boys, working 8 hours per day can do
a work in 65 days, in how many days will 7 men
and 8 boys working 10 hours per day will do 5
times the previous work?
Answers
Answer:
If 3 men or 4 boys working 8 hours per day can do a work in 65 days, in how many days will 7 men and 8 boys working 10 hours per days do 5 times the previous work?
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If 3 men or 4 boys working 8 hours per day can do a work in 65 days, in how many days will 7 men and 8 boys working 10 hours per days do 5 times the previous work?
Solution of the given problem is shown below,
Let W denotes the whole given work.
It is mentioned that 3 men or 4 boys working 8 hours per day can complete the work W in 65 days. Hence,
1 man in 1 hr can complete the amount of work = W/3/(65*8) …… (1)
1 boy in 1 hr can complete the amount of work = W/4/(65*8) …… (2)
Let D denotes the number of days that will be required by 7 men and 8 boys to complete the work 5*W by working together 10 hrs a day. Hence,
Using (1) & (2) we get,
D*10*[7*W/3/(65*8) + 8*W/4/(65*8)] = 5*W
or D*(7/3 + 2) = 65*4 or D = 65*4*3/13 = 60 (days) [Ans]
60 days is your answer
please mark as brainliest answer