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4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?

  • 30 days
  • 40 days
  • 50 days
  • 60 days

Answer: Option B

Explanation:

Let 1 man's 1 day work = x
and 1 woman's 1 days work = y.
Then, 4x + 6y = 1/8
and 3x+7y = 1/10
solving, we get y = 1/400 [means work done by a woman in 1 day]

10 women 1 day work = 10/400 = 1/40

10 women will finish the work in 40 days

Similar Questions :

1. Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.

  • \begin{aligned} \frac{4}{9} \end{aligned}
  • \begin{aligned} 2\frac{4}{9} \end{aligned}
  • \begin{aligned} 3\frac{4}{9} \end{aligned}
  • \begin{aligned} 4\frac{4}{9} \end{aligned}

Answer: Option D

Explanation:

In this type of questions, first we need to calculate 1 hours work, then their collective work as,

A's 1 hour work is 1/8
B's 1 hour work is 1/10

(A+B)'s 1 hour work = 1/8 + 1/10
= 9/40

So both will finish the work in 40/9 hours
= \begin{aligned} 4\frac{4}{9} \end{aligned}

2. A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work.

  • 27 days
  • 54 days
  • 56 days
  • 68 days

Answer: Option B

Explanation:

As per question, A do twice the work as done by B.
So A:B = 2:1
Also (A+B) one day work = 1/18

To get days in which B will finish the work, lets calculate work done by B in 1 day =
\begin{aligned}
=\left(\frac{1}{18}*\frac{1}{3} \right) \\
= \frac{1}{54}
\end{aligned}
[Please note we multiplied by 1/3 as per B share and total of ratio is 1/3]

So B will finish the work in 54 days

3. A man can do a piece of work in 5 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?

  • \begin{aligned} 7\frac{1}{2}days \end{aligned}
  • \begin{aligned} 6\frac{1}{2}days \end{aligned}
  • \begin{aligned} 5\frac{1}{2}days \end{aligned}
  • \begin{aligned} 4\frac{1}{2}days \end{aligned}

Answer: Option A

Explanation:

In this type of question, where we have one person work and together work done. Then we can easily get the other person work just by subtracting them. As,

Son's one day work =
\begin{aligned}
\left(\frac{1}{3}-\frac{1}{5} \right) \\
=\left(\frac{5-3}{15} \right) \\
= \frac{2}{15}
\end{aligned}

So son will do whole work in 15/2 days
which is =

\begin{aligned} 7\frac{1}{2}days \end{aligned}

4. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

  • 6 days
  • 7 days
  • 8 days
  • 9 days

Answer: Option B

Explanation:

1 woman's 1 day's work = 1/70
1 Child's 1 day's work = 1/140
5 Women and 10 children 1 day work =
\begin{aligned}
\left(\frac{5}{70}+\frac{10}{140}\right) \\
= \frac{1}{7}
\end{aligned}

So 5 women and 10 children will finish the work in 7 days.

5. A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The number of days taken in completing the wotk were ?

  • \begin{aligned} 14\frac{2}{3}kmph \end{aligned}
  • \begin{aligned} 15\frac{2}{3}kmph \end{aligned}
  • \begin{aligned} 16\frac{2}{3}kmph \end{aligned}
  • \begin{aligned} 17\frac{2}{3}kmph \end{aligned}

Answer: Option C

Explanation:

Work done by A in l0 days = (1/25) *10 = 2/5
Remaining work = 1 - (2/5) = 3/5
(A+B)s 1 days work = (1/25) + (1/20) = 9/100

9/100 work is done by them in 1 day.
hence 3/5 work will be done by them in (3/5)*(100/9)
= 20/3days.

Total time taken = (10 + 20/3) = 16*(2/3) days

Read more from - Time and Work Questions Answers
Post a comment

  • sreelakshmi 8 years ago

    2 men and 3 children can do a work in 10 days. 3 men and 2 children can do same job in 8 days. in how many days 2 men and 1 children can do the same job?

  • richa gupta 9 years ago

    2 women & 8 boys together take 8 days to complete their work.howmany days will 10 boys to complete their work.if 8 women alone can complete their work in 6 days.

  • kishan 11 years ago

    for...

    4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?

    30 days

    40 days

    50 days

    60 days

    can anybody plz explain how did we got to the solution.....

    when both x and y are unknown...

    solving, we get y = 1/400 [means work done by a woman in 1 day]

    saddam13 10 years ago replied

    then you get answer as 1/ 400 * 10 = 40 days :)

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