Question Detail

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.

1. 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

2. 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 =

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

3. 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.

4. A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?

5 days
6 days
7 days
8 days

Answer: Option B

Explanation:

Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,
So,
A's 1 day work = 1/10
B's 1 day work = 1/15

(A+B)'s 1 day work =

$\begin{aligned} \left(\frac{1}{10}+\frac{1}{15} \right) \\ =\left(\frac{3+2}{30} \right) \\ = \frac{1}{6} \end{aligned}$

So together they can complete work in 6 days.

5. 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

Question Detail

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?

1. 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 ?

2. 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 ?

3. 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?

4. A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?

5. 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 ?

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Question Detail

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?

1. 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 ?

2. 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 ?

3. 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?

4. A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?

5. 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 ?

Thanks ! Your comment will be approved shortly !

Videos @mastguru

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