-
Rohit, Harsh and Sanjeev are three typists, who working simultaneously, can type 216 pages in four hours . In one hour, Sanjeev can type as many pages more than Harsh as Harsh can type more than Rohit. During a period of five hours, Sanjeev can type as many passages as Rohit can, during seven hours. How many pages does each of them type per hour ?
-
- 16, 18, 22
- 14, 17, 20
- 15, 17, 22
- 15, 18, 21
Correct Option: D
Let Rohit, Harsh and Sanjeev can type x, y and z pages respectively in 1 h.
Therefore, they together can type 4(x + y + z) pages in 4 h
∴ 4(x + y + z) = 216
⇒ x + y + z = 54 .....(i)
Also, z - y = y - x
i.e., 2y = x + z ......(ii)
From Eqs. (i) and (ii), we get
3y = 54
⇒ y = 18
From Eq. (ii), x + z = 36 ....(iv)
From Eqs. (iii) and (iv),
we get x = 15 and z = 21
