Home
Class 14
MATHS
If 40 men or 60 women or 80 children can...

If 40 men or 60 women or 80 children can do a piece of work in 6 months, then 10 men, 10 women and 10 children together do half of the work in how may months?

A

`5(6)/(13)` माह

B

6 माह

C

`5(7)/(13)` माह

D

`11(1)/(13)` माह

Text Solution

Verified by Experts

The correct Answer is:
C
`M_(e)=1/(30xx6xx40)`
`W_(e)=1/(30xx6xx40)`
`C_(e)=1/(30xx6xx80)`
`10M+10W+10C=10/(180xx40)+10/(180xx60)+10/(180xx80)`
`rArr1/(180xx4)+1/(180xx6)+1/(180xx8)`
`rArr(6+4+3)/(180xx24)=13/(180xx24)`
`therefore` आधा काम होने में लगा समय = `(180xx24)/(13xx2)`
= `(90xx24)/13` दिन
= `(90xx24)/(13xx30)` माह
= `72/13=5(7)/(13)` माह
Promotional Banner

Similar Questions

Explore conceptually related problems

If 12 men or 18 women can do a piece of work in 14 days, then how long will 8 men and 16 women take to finish the work ?

3 men can do a piece of work in 18 days. 6 children can also do that work in 18 days. 4 men and 4 children together will finish the work in how many days?

If 4 men or 6 women can do a piece of work in 24 days, then how many men should join 3 women to complete the work in 16 days

If 4 men or 6 women can do a piece of work in 24 days, then how many men should join 3 women to complete the work in 16 days

If 12 men or 20 women can do a work in 54 days, then in how many days can 9 men and 12 women together do the work?