- 15 days
- 18 days
- 20 days
- 16 days
- 12 days

Option 4 : 16 days

**Given:**

Time taken by 10 men to complete a work = 24 days

Time taken by 1 woman = 20% more than the time taken by 1 man

**Concept used:**

Efficiency is inversely proportional to the Time taken

**Calculation:**

Let time taken by 1 man be 5 days

So, time taken by 1 woman = 5 × 120% = 6 days

Efficiency of 1 woman and 1 man will be inverse = 5 : 6

Total work done by 10 men = 10M × 24

⇒ 10 × 6 × 24 = 1440

Time taken by 18 women to complete the work = 1440 ÷ 18W

⇒ 1440 ÷ (18 × 5)

⇒ (1440/90) days

⇒ 16 days

**∴ 18 women can complete the whole work in 16 days**

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 2,16,32,430+ Students

Testbook Edu Solutions Pvt. Ltd.

1st & 2nd Floor, Zion Building,

Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

[email protected]
Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

Toll Free:1800 833 0800

Office Hours: 10 AM to 7 PM (all 7 days)