10 men and 15 women together can complete a work in 6 days. It takes 100 days for 1 man alone to complete the same work. How many days will be required for one woman alone to complete the same work?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

125

No worries! We‘ve got your back. Try BYJU‘S free classes today!

145

No worries! We‘ve got your back. Try BYJU‘S free classes today!

150

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is E
None of these

1 man's 1 day's work $= \frac{1}{100}$ (10 men + 15 women)'s 1 day's work $= \frac{1}{6}$
15 women's 1 day's work $= (\frac{1}{6} - \frac{10}{100}) = (\frac{1}{6} - \frac{1}{10}) = \frac{1}{15}$
1 woman's 1 day's work $= \frac{1}{225}$
$∴$ 1 woman alone can complete the work in 225 days.

Suggest Corrections

Similar questions

2 women and 5 men complete work in 4 days , while 3 women and 6 men together complete work in 3 days . find the time taken by 1 man alone to complete work and also time taken by 1 women alone to complete the work

A can complete a piece of work in the same amount of time as B and C together take to complete the same work. A and B together can complete that work in 10 days and C alone can complete it in 50 days.
How many days will it take for B to complete the work alone?

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and child does half the work a man does. How many women alone can complete this work in 7 days?

Q. A man and a boy working together can complete a work in 24 days, if for the last 6 days, the man alone does the work, then it is completed in 26 days, How long will the boy to complete the work alone ?

Sowmya takes 6 days less that the number of days takes by Bhagya to complete a piece of work. If both Sowmaya and Bhagya together can complete the same work in 4 days, in how many days will Bhagya alone complete the work?

Join BYJU'S Learning Program

10 men and 15 women together can complete a work in 6 days. It takes 100 days for 1 man alone to complete the same work. How many days will be required for one woman alone to complete the same work?

The correct option is E None of these 1 man's 1 day's work =1100 (10 men + 15 women)'s 1 day's work =16 15 women's 1 day's work =(16−10100)=(16−110)=115 1 woman's 1 day's work =1225 ∴ 1 woman alone can complete the work in 225 days.