Question

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 1

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.

Answer 2

Hello Dear.

Here is the answer----


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As per as the Questions, 

           550 peoples can complete the work in 100 Days.
     Thus, 1 peoples----------------------------------550 × 100
                                                                      = 55000 Days.

Total Number of Peoples = 550 

Number of Days required by them to complete the work = 100 Days.

One day work of 550 Peoples = 1/100th Part of work.

Thus, 10 Day work of 550 Peoples = 10/100 th part of the work
                                                         = 1/10th part of work.


Thus, the Remaining work = 1 - (1/10)
                                           = 9/10 th part of work.

Now,
After 10 Days, 50 Peoples join, thus new number of Peoples = 550 + 50
                                                                                                       = 600

The Work done by the 600 peoples will be (9/10) part.

      600 peoples can complete the total work   in   55000 ÷ 600

∴ 600----------------------------------(9/10)th part of work in (55000/600) × (9/10) 

 ∴ 600 Peoples------------------------------------------------- 82.5  Days.

Thus, the number of days which will requires to complete the remaining work by the 600 Peoples will be 82.5 Days.


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Hope it helps.

Have a Marvelous Day.