Question

A man can make $18$ cakes in $6$ days by working $6$ hours a day. How many cakes can he make in $12$ days by working 3 hours a day?

• A. $18$
• B. $36$
• C. $12$
• D. $24$

Answer 1

The correct option is A $18$

Keeping hours constant no of cakes $\propto$ no of days.
$\Rightarrow \frac{18}{6}=k=\frac{x}{12}$

$\Rightarrow x=12\times \frac{18}{6}=36$ cakes by working $6$ hours a day.Now, keeping days constant no of cakes $\propto$ no of hours.

$\frac{36}{6}=k=\frac{4}{3}$

$\Rightarrow y=3\times \frac{36}{6}=18$ cakes by working $8$ hours a day.