1.

550 people can complete a work in 100 days. After 10 days start of work 50 more people join. In how many more days now the work will complete

Answer»

550 PEOPLE can do a complete work = 100 days
∴ 1 people can do same work = 550 × 100 days
∴ (550 + 50) = 600 people can do same work = 550 × 100/600 days

Now, again,
550 people can do a complete work in 100 days
∴ 550 people can do 1/100th part of work in 1 days
∴ 550 people can do 1/10 TH part of work in 10 days

∴ rest part of work = 1 - 1/10 = 9/10th , which is DONE by 600 people .
∵ 600 people can do a complete work = 550 × 100/600 days
∴ 600 people can do 9/10th part of work = 550 × 100/600 × 9/10 days
= 550 × 100 × 9/600 × 10
= 55 × 9/6 = 165/2 = 82.5 days

Hence, 82.5 days more now the work will complete.


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