Time and work

Quantitative Aptitude (CGL)

Title

45:30

8 of 24 completed

5 of 15 completed

38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

Ten men or twelve women can finish the same workin 10 days. If 5 men and 2 women undertake the work together, how many

days will they take to complete the work?

This questions was previously asked in

SSC CGL 7th March 2020 Shift-2

- Let's find the total work in "man-days": 10 men × 10 days = 100 man-days.

- Similarly, 12 women × 10 days = 120 woman-days, so 10 men = 12 women ? 1 man = 1.2 women (or 1 woman = 5/6 men).

- Let's assign all work in man-days: Work = 100 man-days.

- 5 men + 2 women: Women in men terms = 2 × (5/6) = 5/3 men; So, total = 5 + 5/3 = 20/3 men.

- Each day: 20/3 men working.

- Total days = Total work/men per day = 100/(20/3) = 100 × 3/20 = 15 days.

- Option 1: 15 days is correct.

- Options 2, 3, 4 (40, 20, or 60 days) would mean much slower or faster rates, which don’t fit the calculation above.