Directions : Read the following information carefully and answer the…
2019
Directions : Read the following information carefully and answer the questions.
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 the same work in 3y days. 8 women, 8 children and 8 men together can complete same work in 22½ days. 9 men can complete the same work in (y + 20) days.
What is the value of y.
- A.
14
- B.
18
- C.
20
- D.
16
- E.
24
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Let x be the number of women and y be the men's days condition. From the combined work rate of 8 women, 8 men and 8 children finishing in 22.5 days, xy = 240. Nine men finish in y + 20 days, and their time is xy/6 = 40, so y = 20.