Chain Rule Practice Test 2 with solutions

Question : 28 of 40

Marks: +1, -0

If 3 men or 6 boys, working 7 hours a day can do a piece of work in 10 days; how many days will it take to complete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day?

9
$8 1/2$
$7 1/2$
$6 1/2$

Validate

Solution:

Here,1 man = 2 boys
Then, 6 men and 2 boys = 12 boys + 2 boys = 14 boys

Work	Boys	Hours	Days
1	6	7	10
2	14	8	x

⇒

x/{10}

7/8 × 6/{14} × 2/1

∴ x =

7/8 × 6/{14} × 2 × 10

{15}/2

7 1/2

days

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