Chain Rule Practice Test 3 with solutions

Question : 8 of 10

Marks: +1, -0

400 persons, working 9 hours a day complete

1/4

th of the work in 10 days. The number of additional persons, working 8 hours a day, required to complete the remaining work in 20 days, is:

Solution:

Work	Hours	Days	Persons
1/4	9	10	400
3/4	8	20	x

⇒

x/{400}

{10}/{20} × 9/8 × {3/4}/{1/4}

∴ x =

1/2 × 9/8 × 3 × 400

= 675
Hence, number of additional persons = 675 – 400 = 275

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