1.

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

Answer»

550 people can do the work in 100 days

⇒ 1 day = 1/100 of the work


Amount of work completed by 550 people in 10 days:

1 day = 1/100

10days = 1/100 x 10 = 10/100 = 1/10 of the work


Amount of work left to do after the 10 days:

Amount of work left = 1 - 1/10 = 9/10 of the work


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Number of people after 50 joined in:

550 + 50 = 600 people


Find the number of days needed for 600 people to complete the work:

550 people = 100 days

1 PERSON = 100 x 550 = 55000 days

600 people = 55000 ÷ 600 = 275/3 days


Find the number of days needed to complete the rest of the work:

Rest of the work = 9/10 of the work

whole work =  275/3 days

9/10 of the work = 9/10 x 275/3  = 82.5 days


Answer: They need ANOTHER 82.5 days



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