Bunuel
Two typists P and Q work individually for 6 hours a day. What is the difference between the average number of pages typed per hour by person P on a single day and the average number of pages typed per hour by person Q on the single day?
(1) The typing speed of the person P is constant and is 10 pages per hour, whereas the typing speed of person Q is 19 pages per hour for initial three hours on the same day.
(2) Twice the average number of pages typed by person Q in one hour is 3.8 times the average number of pages typed by person P in one hour.
The two typists P and Q work individually for 6 hours a day.
Let the average pages typed by each typist in a single day of 6 hrs work is
Pa and
Qa respectively
.
To find : Difference of (Pa - Qa). Statement 1:(1) The typing speed of the person P is constant and is 10 pages per hour, whereas the typing speed of person Q is 19 pages per hour for initial three hours on the same day.Given, typing speed of P is 10 pages /hr . Then for 6 hrs it’s 60 pages. Pa = 10 pages/hr.
Q is typing 19 pages per hour - for the initial 3 hrs of the day.
What about the next 3 hrs?? Is the pages typed > 19 or <19?
No information about the remaining 3 hours. Hence,
NOT SUFFICIENT. Statement 2: (2) Twice the average number of pages typed by person Q in one hour is 3.8 times the average number of pages typed by person P in one hour.Given 2* Qa = 3.8 * Pa
thus, Qa / Pa = 19/10.
Ratio is not sufficient to determine the true values of Qa and Pa. Hence,
NOT SUFFICIENT.
Combining statements 1 and 2, we come to know the value of Pa =10, which gives the value of Qa =19.
Hence, Qa - Pa = 19 - 10 = 9.
Option C