A contractor employed 210 men to build a house in 60 days. After 12 days , he was joined by 70 more men. In how many days will the remaining work be finished.
is it 36
see 210 men were supposed to finish the remaining work in 60-12 =48 days now 210+70 men will finish the work in x days say
if more person joins the work should be finished early in other words men and time are inversely related hence we have 210/280 =x/48 or x= 210*48/280
After 12 days, 1/5 of the work had been completed. 4/5 of the work was left. Now it's pretty obvious that 70 people take \(60 \times 3 = 180\) days because 70 people are 3 times less than 210. So \(70 \times 4 = 280\) people take \(180 \div 4 = 45\) days to complete the same work. But 4/5 of the work is left, so it'd take \(\dfrac{4}{5} \times 45\) days to complete the remaining work.
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