A lawyer charges her clients $200

[candace_washington1980]

Gmat test prep question

A lawyer charges her clients $200 for the first hour of her time and $150 for each additional hour. If the lawyer charged her new client $1550 for a certain number of hours of her time, how much was the average (arithmetic mean) charge per hour?

A. $155
B. $160
C. $164
D. $172
E. $185

[furtadovinod]

Gmat test prep question

A lawyer charges her clients $200 for the first hour of her time and $150 for each additional hour. If the lawyer charged her new client $1550 for a certain number of hours of her time, how much was the average (arithmetic mean) charge per hour?

A. $155
B. $160
C. $164
D. $172
E. $185

To find the average charge per hour, we need to know the total number of hours that the lawyer charged this particular client.
Now, total charge = $1550. From this we subtract $200, since thats what the lawyer charges for the first hour.

Therefore, 1550 - 200 = 1350. Now divide this by 150 since the lawyer charges $150 for every hour after the first hour.

Therefore, 1350/150 = 9 hrs.

Add, the initial 1 hour. Therefore, the lawyer charged her client $1550 for 10 hours, which gives us an average of $155/hr. And that is option A.

[candace_washington1980]

Thank you so much:)