# ten men and fifteen women together can complete a work in 10 days. it takes 150 days for one man alone to complete the same work. how many days will be required for one woman alone to complete the same work?

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## If 10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will a women finish the work?

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Question

## If 10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will a women finish the work?

**A**

## 125 days

**B**

## 150 days

**C**

## 90 days

**D**

## 225 days

Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is D)

1 man can finish the whole work in 100 days∴ 1 man's 1 days' work =

100 1

⇒ 10 men's 1 days' work =10×

100 1 = 10 1

Let the time taken by one woman to finish the work be x days.

Then, 1 woman's 1 days' work =

x 1

⇒ 15 women's 1 days' work =

x 15

Given, (10 men's + 15 women's ) 1 days' work =

6 1 ⇒ 10 1 + x 15 = 6 1 ⇒ x 15 = 6 1 − 10 1 = 30 5−3 = 30 2 = 15 1 ⇒x=225 days.

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

Answer (1 of 4): 10 men and 15 women together can complete the work in 6 days 10 men and 15 women together can do 1/6 of the work in 1 day 1 man alone can complete the work in 100 days or 10 men can complete the work in 10 days 10 men can do 1/10 of the work in 1 day 15 women can do1/6–1/10=(...

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

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4 Answers Ranjan Karnad

Former Retired Banker (1972–2000)Author has 5.7K answers and 2.5M answer views2y

1 man in 1 day does 1/100 of the work

In 6 days 10 men do 60/100 = 3/5 of the work

So 15 women do 2/5 in 6 days

15 women will take 15 days to do the complete job

So 1 woman will take 15*15= 225 days ANSWER

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1 man completes 1/100 th part of work in one day

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10 men and 15 women together can complete the work in 6 days

10 men and 15 women together can do 1/6 of the work in 1 day

1 man alone can complete the work in 100 days or 10 men can complete the work in 10 days

10 men can do 1/10 of the work in 1 day

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10 m + 15 w complete the work in = 6 days.

So 60 m + 90w can complete the work in =1 day …. Eqn-1

100 m can complete the work in = 1- day …. Eqn-2

From Eqn-1and Eqn-2 we know that 90w - can complete 0.4- part of the work in 1- day

So complete the whole work in 1- day we require= 90/0.4= 225- women.

Therefore 1- woman alone can complete the whole work in = 225- days.

======================

Another Simple Method:

10 m + 15 w= 1/6 part of work

60 m + 90 w= Whole work.

100 m = whole work

So 0.4- work = 90- women Or 1- Man = 90/40= 2¼- women.

Since 1- Man can complete the whole work in 100- days,

(100 x 2¼)= 22 Related questions

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## 10 men and 15 women together can complete a work i

Time and Work Questions & Answers for AIEEE,Bank Exams,CAT,GATE, Analyst,Bank Clerk,Bank PO,Database Administration,IT Trainer : 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be requi

81 Q:

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

A) 215 days B) 225 days

C) 235 days D) 240 days

Answer: B) 225 days

Explanation: Given that

**(10M + 15W) x 6 days = 1M x 100 days**

=> 60M + 90W = 100M => 40M = 90W => **4M = 9W.**

From the given data,

1M can do the work in 100 days

=> 4M can do the same work in 100/4= 25 days.

=> 9W can do the same work in 25 days.

=> 1W can do the same work in **25 x 9 = 225 days.**

Hence, 1 woman can do the same work in** 225 days.**

Subject: Time and Work - Quantitative Aptitude - Arithmetic Ability

Exam Prep: AIEEE , Bank Exams , CAT , GATE

Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

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