Note 1 : All the persons worked on the job X for whole number days.
Note 2 : Two jobs Y and Z are similar to job X and require same effort as required by job X.
If A,C abd E worked on job Z for 2 days each and the remaining job was done by B and D. if the ratio of no. days for which B and D worked is in ratio `20:21`, then find the number of days for which B worked ?

Options

A. 50 days
B. `4(1)/(2)` days
C. `5(1)/(2)` days
D. 4 days

Answer

D

Explanation

Work done by A,C and E on job Z in 2 days is-
`=(2)/(10)+(2)/(15)+(2)/(20)`
`=(12+8+6)/(60)`
`=(26)/(60)=(13)/(30)`
Remaaining work done by B and D in 20x and 21x
`(20x)/(12)+(21x)/(18)=(17)/(30)`
`(60x+42x)/(36)=(17)/(30) rArr 102x=17xx(36)/(30)`
`x=(6)/(30)=(1)/(5)`
Required days `=20xx(1)/(5)=4 ` days