Answer :
Explanation:
According to the problem, Han and Clare are stuffing envelopes. He can stuff 20 envelopes in one minute and Clare can stuff 10 envelopes in one minute. This means that they can jointly stuff 30 envelopes in one minute.
Now, mathematically we know that the number of time it will take to finish stuffing would be:
[tex]\frac{number\text{ of envelopes}}{joint\text{ rate}}\text{ =}\frac{1000\text{ envelopes}}{30\text{ envelopes per minute}}[/tex]If we simplify this expression, we get:
[tex]\frac{100\text{ envelopes}}{3\text{ envelopes per minute}}[/tex]this can be written as:
[tex]33\text{ + }\frac{1}{3}\text{ minutes}[/tex]this is true since:
[tex]33\text{ + }\frac{1}{3}=\frac{33(3)\text{ + 1}}{3}=\frac{99\text{ + 1}}{3}=\frac{100}{3}\text{ minutes}[/tex]thus, we obtain that it will take them 33 minutes and 20 seconds
Then, we can conclude that the correct answer is:
Answer:33 minutes and 20 seconds