Question

Mary's team sews the teddy bears and they want to make $25,000$ of them. If her team can make $100$ of those in $18$ minutes and $43$ seconds, how much time will it take to reach their goal?

• A. $77$ hrs $59$ mins and $10$ secs
• B. $77$ hrs $49$ mins and $10$ secs
• C. $75$ hrs $59$ mins and $10$ secs
• D. $75$ hrs $49$ mins and $10$ secs

Answer 1

The correct option is A $77$ hrs $59$ mins and $10$ secs

Given:
Time taken to make $100$ teddy bears = $18$ minutes and $43$ seconds
$\therefore$ Time taken to make $25,000$ teddy bears $=\frac{25,000}{100}\times \text{18 minutes and 43 seconds}$

$=250\times \text{18 minutes and 43 seconds}$, can be solved as shown in figure below


So, it will take $4,500$ minutes and $10,750$ seconds. And $10,750$ seconds can be converted into $179$ minutes and $10$ seconds as shown in below figure:


So, the simplified time will be $4,500$ mins + $179$ mins + $10$ secs = $4,679$ mins and $10$ secs.

Now, converting mins into hrs:


Therefore, time taken by Mary's team to make $25,000$ teddy bears $=77\text{hrs}59\text{mins}\&10\text{secs}$.

option (a) is the correct option.