Subject: General Aptitude · Chapter: Time and Work · Exam: 2005 · Marks: · Difficulty:
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
(d)16, 18, 22
Answer
Answer (as printed): C
Explanation
Let the number of pages typed in one hour by P, Q and R be x, y and z respectively. 216 Then, x + y + z = 4 ⇒ x + y + z = 54 z ...(i) z–y=y–x ⇒ 2y = x + z ...(ii) 5z = 7x 5 ⇒ x= z ...(iii) 7 Solving (i), (ii) and (iii), we get x = 15, y = 18, z = 21. 32 16
Explanation as extracted from the printed page; notation may be imperfect.