Chain Rule Practice Test 1 with solutions

Question : 38 of 40

Marks: +1, -0

If x men, working x hours a day, can do x units of work in x days, then y men, working y hours a day would be able to complete how many units of work in y days?

$y^3/x^2$
$y^2/x^3$
$x^3/y^2$
$x^2/y^3$

Validate

Solution:

Men	Days	Hours	Work
x	x	x	x
y	y	y	a

⇒

a/x

y/x × y/x × y/x

∴ a =

y^3/x^2

units

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