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# 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?

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## 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?

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?

Quantitative Aptitude

Time & Work 10 men and 15... Question

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?

A 90 B 125 C 145 D 150 E None of these Open in App Solution

The correct option is B

None of these

1 man's 1 day's work

= 1 100

(10 men + 15 women)'s 1 day's work

= 1 6

15 women's 1 day's work

= ( 1 6 − 10 100 ) = ( 1 6 − 1 10 ) = 1 15

1 woman's 1 day's work

= 1 225 ∴

1 woman alone can complete the work in 225 days.

Suggest Corrections 12

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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?

Click here👆to get an answer to your 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?

Question

A

B

C

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.

54 10

स्रोत : www.toppr.com

## 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

38 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

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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