Question 73

A work can be completed by 35 workers in 30 days. If 5 workers leave after every 10 days then in how many days will the work be completed?

Solution

$$M_1\times D_1\ =\ M_2\times D_2$$

Let's assume the more number of days taken after 30 days is 'y'.

$$35\times30\ =\ 35\times10+30\times10+25\times10+20\times y$$

$$1050\ =\ 350+300+250+20y$$

20y+900 = 1050

20y = 1050-900

20y = 150

y = 7.5

So the total number of days taken = 30+7.5 = 37.5 days

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