x women can complete a piece of work in 2y days. 1.5x men can complete the…
2019
x women can complete a piece of work in 2y days.
1.5x men can complete the same work in y days, while 2x children can complete it in 3y days.
8 women, 8 children and 8 men together can complete the same work in 22.5 days.
9 men can complete the same work in y + 20 days.
Solving the shared data gives x = 12 and y = 20.
If (x - 6) women worked for (y - 6) days and (x - 6) men worked for (y - 10) days, in what time will the remaining work be completed by (x - 6) children?
- A.
152 ⅔ days
- B.
148 ⅓ days
- C.
145 days
- D.
154 days
- E.
158 days
Attempted by 2 students.
Show answer & explanation
Correct answer: E
With x = 12 and y = 20, x - 6 = 6. Six women working for 14 days complete 84/480 = 7/40 of the work, and six men working for 10 days complete 60/360 = 1/6. Work done = 7/40 + 1/6 = 41/120, so remaining work = 79/120. Six children work at 6/1440 = 1/240 per day, so time required = 79/120 divided by 1/240 = 158 days.