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Aptitude · Q136

Time And Work

Competitive Exams · Aptitude · question 136

Q136

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 ?

A.
14, 17, 20
B.
15, 17, 22
C.
15, 18, 21
Answer
D.
16, 18, 22

Answer: Option C

Solution

Answer: Option C
Solution:
Let the number of pages typed in one hour by P, Q and R be x, y and z respectively
Then,

Solving (i), (ii) and (iii), we get