Kelly is an attorney and also an excellent typist. She can type 120 words per minute, but she is pressed for time because she has all the legal work she can handle at $75 per hour. Kelly's friend Todd works as a waiter and would like some typing work (provided that he can make at least his wage as a waiter, which is $25 per hour). Todd can only type 60 words per minute.
A)Kelly should do all the typing because she is faster.
B)Todd should do the typing as long as his earnings are more than $25 and less than $37.50 per hour.
C)Unless Todd can match Kelly's typing speed, he should remain a waiter.
D)Todd should do the typing, and Kelly should pay him $20 per hour.

Question

Kelly is an attorney and also an excellent typist. She can type 120 words per minute, but she is pressed for time because she has all the legal work she can handle at $75 per hour. Kelly's friend Todd works as a waiter and would like some typing work (provided that he can make at least his wage as a waiter, which is $25 per hour). Todd can only type 60 words per minute.​
A)​Kelly should do all the typing because she is faster.
B)​Todd should do the typing as long as his earnings are more than $25 and less than $37.50 per hour.
C)​Unless Todd can match Kelly's typing speed, he should remain a waiter.
D)​Todd should do the typing, and Kelly should pay him $20 per hour.

Quizplus · Accepted Answer

Since Kelly's hourly wage is $75 and Todd wants to make at least his wage as a waiter, which is $25 per hour, Todd's typing rate must earn Kelly $50 per hour ($75 - $25).

Kelly types 120 words per minute, so she can produce 120/60 = 2 words per second. Thus, she can produce 2 * 60 * 60 = 7200 words per hour.

Todd types 60 words per minute, so he can produce 60/60 = 1 word per second. Thus, he can produce 1 * 60 * 60 = 3600 words per hour.

Since Kelly can produce 7200 words per hour, she can earn $50 per hour by typing 3600 words per hour.

Therefore, Todd should do the typing as long as he types at least 3600 words per hour, which is equivalent to 60 words per minute. Todd's earnings will be more than $25 and less than $37.50 per hour, and Kelly will earn $75 per hour doing legal work.

Kelly Is an Attorney and Also an Excellent Typist