Amanda can prepare a Thai meal for a group in 2 hours and can type a 10 page paper in the same amount of time.Morgan can prepare the meal in 3 hours.Morgan will be the more efficient typist as long as she can type the a paper in less than

Question

Quizplus · Accepted Answer

We can use the concept of rate of work here. Let's say Amanda can prepare 1/2 of a Thai meal in 1 hour and type 1/10th of a paper in 1 hour. Similarly, Morgan can prepare 1/3rd of a Thai meal in 1 hour. Now, we want to find out if Morgan can type a paper faster than Amanda.

For Amanda: 
In 1 hour, Amanda can prepare 1/2 of a Thai meal and type 1/10th of a paper. 
In 2 hours, Amanda can prepare 1 Thai meal and type a 10-page paper.

For Morgan: 
In 1 hour, Morgan can prepare 1/3rd of a Thai meal. 
To prepare 1 Thai meal, Morgan would take 3 hours.

Now, let's see how long it would take Morgan to type the same 10-page paper: 
Morgan's typing rate = 1/10th of a paper in 2 hours (same as Amanda's) 
Morgan's typing rate = 1/20th of a paper in 1 hour

So, Morgan can type a 10-page paper in 2 hours (same as Amanda) or less. Therefore, Morgan will be the more efficient typist as long as she can type a paper in less than 2 hours, which is option B.

Amanda Can Prepare a Thai Meal for a Group in 2