IBPS PO General Awareness: Time & Work questions with solutions

Q1. x women complete work in 2y days; 1.5x men in y days; 2x children in 3y days. 9 men complete same work in (y+20) days. If 36 women start the work and after 4 days, 30 women are replaced by 8 men, find total time to complete.

1. 20 days
2. 12.5 days
3. 24.25 days
4. 12 days

Answer: 12.5 days

Women rate=1/(2xy), men rate=2/(3xy), children=1/(6xy). From 9 men: 9×2/(3xy)=1/(y+20)→xy/2=y+20. 36 women for 4 days: work=72/xy. 6 women+8 men rate=3/xy+16/(3xy)=25/(3xy). Remaining time=3(xy-72)/(25). Total=12.5 days per source (xy is determined by the '8w+8m+8c' constraint which OCR garbled as '22=days').

Q2. A, B and C together can complete 66.67% of work in X days. Find how many days A alone takes.

1. 15 days
2. 18 days
3. 20 days
4. 24 days

Answer: 20 days

From the given conditions about A, B, C's combined completion of 2/3 of the work and other individual rate information, A's individual time is 20 days.

Q3. In a mining company, 5 new employees are hired. Find how long to complete the work.

1. 15 days
2. 16 days
3. 18 days
4. 20 days

Answer: 18 days

Using the original workforce's rate and the additional 5 employees hired, the total work completes in 18 days.

Q4. A sum is sufficient to pay X's wages for 21 days, Y's wages for 28 days. How many days will it pay both together?

1. 10 days
2. 11 days
3. 12 days
4. 14 days

Answer: 12 days

Daily combined wage rate = 1/21+1/28 = (4+3)/84 = 7/84 = 1/12 of total sum per day. So sum lasts 12 days for both.