IT was estimated that 42 men can complete a strip in a newly constructed highway connecting cities J and Q in 9 days. Due to an emergency, 14 men were sent to another project after 3 days of commencement of work. How many number of days, more than the original estimate, will be required to complete the strip? A. 3 days B. 5 days C. 10 days D. 13 days

GATE 2020 · General Aptitude · Work Time · medium

Answer: Extra days required = 3 days

1. Calculate total work in man-days: Total = 42 * 9 = 378 man-days.
2. Find work done in first 3 days: Work in first 3 days = 42 * 3 = 126 man-days.
3. Calculate remaining work: Remaining = 378 - 126 = 252 man-days.
4. Find days for reduced team to finish: Days = 252 / 28 = 9 more days after day 3.
5. Compute extra days beyond original estimate: Total = 12 days. Extra = 12 - 9 = 3 days.