Question

14 men can do work in 18 days. 15 women can do the same work in 24 days. if 14 men work for first three days and 10 women work after that for three days. find the part of work left after that ?

Answer 1

2 Men can complete a job in 18 days.

So, TOTAL WORK = 12×" role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">12×1812 = 216 Mandays = 216 MD

Now, 4Men joined after 6 days.So, work done in 6 days = 12×" role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">12×612 = 72 MDNow, after 4 men join, Work done per day will be 16 MD.Remaining Work = 144 MD

So, TIME TAKEN = 144" role="presentation" style="margin: 0px; padding: 0px; outline: 0px; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">14416144 = 9 days 

Answer 2

Answer:

Work left to do after 6 days is 3/4.

Step-by-step explanation:

Given:

Number of day 14 men take to do work = 18

Number of day 15 women take to do work = 24

To find: Left work when 14 mean do for 3 days and 10 women for next three days.

Work done by 14 men in a day = 1/18

⇒ Work done by 14 men in 3 day = 1/18 × 3 = 1/6

Work done by 15  women in a day = 1/24

Work done by 1 women in a day = 1/(24 × 15)

⇒ Work done by 10 women in a day = 1/(24 × 15) × 10 = 1/36

⇒ Work done by 10 women in 3 days = 1/36 × 3 = 1/12

Work left out to do = 1 - 1/6 - 1/12 = (12-2-1)/12 = 9/12 = 3/4

Therefore, Work left to do after 6 days is 3/4.