a job is completed by 10 men in 20 days and women..., Time & Work, General Mathematics

Question:A job is completed by 10 men in 20 days and by 20 women in 15 days. How many days will it take for 5 men and 10 women to finish that work ?

A `17 1/2` 
B `17 1/7` 
C `17` 
D `17 1/120`

/47

+ AnswerB

+ Explanationsolution:
Let 1 men's 1 day's work `= x` & 1 woman's 1 day's work `= y`.
Then, `10x = 1/20` and `20y = 1/15`.
So, `x = 1/200 and y = 1/300`.
`:.`(5 men + 10 women)'s 1 day's work `= (5/200 + 10/300)`
                                                      `= 7/120`.
So, they will finish the work in `120/7`
                                         `= 17 1/7`days.

+ Report

Descriptive on Time & Work Ebook

Total Preview: 2895