Question

Tommy makes dolls. He can make $500$ dolls in $1$ hour $16$ minutes and $29$ seconds, How long will it take him to make $6,000$ dolls?

• A. $15$ hrs $17$ mins and $48$ secs
• B. $15$ hrs $17$ mins and $38$ secs
• C. $15$ hrs $27$ mins and $48$ secs
• D. $15$ hrs $27$ mins and $38$ secs

Answer 1

The correct option is A $15$ hrs $17$ mins and $48$ secs

Given:
Time taken by Tommy to make $500$ dolls = $1$ hr $16$ mins and $29$ secs

$\therefore$ Time taken to make $6,000$ dolls $=\frac{6,000}{500}\times 1\text{hr}16\text{mins}\&29\text{secs}$

$=12\times \left(1\text{hr}16\text{mins}\&29\text{secs}\right)$

this can be simplified as shown in figure below,
It is $12\text{hr}192\text{mins}\&348\text{secs}$,

Now, let's convert seconds to minutes and minutes to seconds

$\underset{–}{\text{348 secs into mins:}}$

Simplified time is
$12\text{hr}+192\text{mins}+5\text{mins}+48\text{secs}=12\text{hr}+197\text{mins}+48\text{secs}$

$\underset{–}{\text{Now, converting}197\text{mins into hrs}:}$

Therefore, further simplified time
= $12$ hr + $197$mins + $48$ secs
= $12$ hr + $3$ hrs + $17$ mins + $48$ secs
= $15$ hr + $17$mins + $48$ secs

(a) is the correct option.