Question

Sixty men can build a wall in
40 days, but though they begin the work together, 5 men quit every ten days. The time needed to build the wall is:
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Answer 1

Answer:

Answer

60 men can build a wall in 40 days

Fraction of work done by 1 men in 1 day =1/(60*40) = 1/2400

In 1st 10 days fraction of work done

= 1/2400*10*60 = 1/4 =12/48

Next 10 days fraction of work done

= 1/2400*10*55 = 11/48

Next 10 days fraction of work done

= 1/2400*10*50 = 5/24 =10/48

Next 10 days fraction of work done

= 1/2400*10*45 = 3/16 =9/48

In 40 days fraction of work done

= (12+11+10+9)/48 = 42/48

Remaining fraction of work = 6/48 = 1/8

if x is the no of days to complete 1/8 work with 40 men, then

1/2400*x*40 = 1/8

x = 15/2

total no of days required = 10+10+10+10+15/2

=47 1/2days

Step-by-step explanation:

Hope it will help

Answer 2

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Total man days = 2400

60 × 10 × 55 × 10 + 50 × 10 + 45 × 10

= 2100

man days

300/40 = 7.5 days

Total days

= 10 + 10 + 10 + 10 + 7.5 = 47.5 days.