Ganesh, Harish Sruesh and Mahesh worked together to produce 558 pieces of an item in 12 hours. Ganesh is twice as efficient as Harish and is five sixth as effieient as Mahesh. Mahesh is thrice as efficient as Suresh. How many pieces can Mahesh produce in 9 hours?

Options

A. 144
B. 162
C. 126
D. 180

Answer

B

Explanation

Let the numbe of units which Ganesh, Harish, Suresh and Mahesh cam produce by g/hr , h/hr, s/hr respectively.
`12(g+h+s+m)=558`
`g+h+s+m=46.5`
`g=2h=(5)/(6)m`
From Eq. (1), we get
`h=(5)/(12)m`
And from Eq. (2), we get
`s=(1)/(m)`
`:.(5)/(6)m+(5)/(12+(1)/(3)=46.6`
`(31)/(12)m=46.5`
`m=18`
In 9 hourse Mahesh can prduce 9m units, i.e.,162 units