Question

P Q and R are three typists who working simultaneously can type 216 pages in 4 hours. In one hour, R can type as many pages more than Q as Q can type more than P. During a period of five hours, R can type as many pages as P can during seven hours. How many pages does each of them type per hour?​

Answer 1

Answer:

Step-by-step explanation:

Given  

P Q and R are three typists who working simultaneously can type 216 pages in 4 hours. In one hour, R can type as many pages more than Q as Q can type   more than P. During a period of five hours, R can type as many pages as P can during seven hours. How many pages does each of them type per hour?​

Given  

Let the number of pages typed in one hour be p, q, r.

In one hour P + Q + R = 216 / 4

So P + Q + R = 54 -----------(1)

Now in one hour, R can type as many pages more than Q as Q can type more than P.

So R – Q = Q – P

  2 Q = P + R-------------(2)

In 5 hours, R can type as many pages as P can during 7 hours.

7 P = 5 R-------------(3)

Using 2 in 1 we get

3 Q = 54

Q = 18

Now putting the value in 2 we get

P + R = 36

From eqn 3 and 4 we get

P + 7 P / 5 = 36

P = 15

From eqn 4 we get

R = 36 – 15

R = 21

Answer 2

Step-by-step explanation:

I have explained everything in photo. u guys can see it.

Thank you!!