Question

Yvette completes laying intricate roses on $8$ cakes in exactly $2$ hrs $3$ mins and $12$ secs. She will take to lay intricate roses on one cake.

• A. $15$ mins $20$ secs
• B. $15$ mins $22$ secs
• C. $15$ mins $24$ secs

Answer 1

The correct option is C $15$ mins $24$ secs

Time taken by Yvette in laying intricate roses on $8$ cakes = $2$ hrs $3$ mins and $12$ secs
= $2$ hrs + $3$ mins + $12$ secs

$\therefore$ Time taken by Yvette in laying intricate roses on $1$ cakes

$=\frac{\text{Time taken in laying intricate roses on}8\text{cakes}}{8}$

$=\frac{2\text{hrs +}3\text{mins +}12\text{secs}}{8}$

$=\frac{2}{8}\text{hrs}+\frac{3}{8}\text{mins}+\frac{12}{8}\text{secs}$

$=\frac{2}{8}\times 60\text{mins}+\frac{3}{8}\times 60\text{secs}+\frac{12}{8}\text{secs}$

$=15\text{mins}+\frac{3}{2}\times 15\text{secs}+\frac{3}{2}\text{secs}$

$=15\text{mins}+\frac{45+3}{2}\text{secs}$

$=15\text{mins}+$24$\text{secs}$

= $15$ mins and $24$ secs

$\therefore$ Time taken by Yvette in laying intricate roses on $1$ cakes = $15$ mins and $24$ secs