Time and Work-Basic test 1

Answer: Option A

Explanation

According to the question,

3 men can do a piece of work in 6 days. 5 Women can do the same work in 18 days

So, 3 × 6 = 5 × 15

⇒18 men = 90 women

⇒1 man = 5 women

 Here,

M₁= 5, D₁=18, W₂=1

M₂= 30-x, D₂= ?, W₁= 1

So as per the formula,

     M₁ D₁ W₂ = M₂ D₂ W₁

    $$\begin{gathered} \Rightarrow 5\times 18\times 1=30\times D_2\times 1 \\ D_2=\frac{5\times 18}{30}=3 days \end{gathered}$$

 Hence option A is correct.

Answer: Option D

Explanation

According to the question,

3 men can do a piece of work in 18 days. 6 children can also do that work in 18 days.

 So, 3 men =6 children

⇒ 1 man = 2 children

∴ 4 men + 4 children (2 men)

⇒ 4 men + 2 men = 6 men

Here,

M₁ = 3, D₁ =18, W₂ =1

M₂ = 6, D₂ = ?, W₁ = 1

So according to the formula,

     M₁ D₁ W₂ = M₂ D₂ W₁

$$\begin{gathered} \Rightarrow 3\times 18\times 1=6\times D_2\times 1 \\ \therefore D_2=\frac{3\times 18}{6}=9 days \end{gathered}$$

 Hence option D is correct.

Answer: Option D

Explanation

According to the question,

A's  1 day work = 1/12 

B's 1 day work = 1/24 

(A+B's 1 day work)

$\Rightarrow \frac{1}{12}+\frac{1}{24}=\frac{2+1}{24}=\frac{3}{24}=\frac{1}{8}$

∴ (A+B) will finish the assingment  in 8 days.

Hence option D is correct.

Answer: Option A

Explanation

This is very simple and direct kind of question.

Required no. of days = $\frac{2750}{110}=25 days$

 Hence option A is correct

Answer: Option B

Explanation

According to the question,

 1 man = 2 women 

10 men = 20 women

∴ 10 men + 8 women 

⇒(20+8) women= 28 women

4 men + 6 women= (8+6) women 

                           =14 women

Here,

M₁ = 28, D₁ =5, W₂ =1

M₂ = 14, D₂ = ?, W₁ = 1

So according to the formula,

     M₁ D₁ W₂ = M₂ D₂ W₁

$$\begin{gathered} \Rightarrow 28\times 5\times 1=14\times D_2\times 1 \\ \therefore D_2=\frac{28\times 5}{14}=10 days \end{gathered}$$

Hence option B is correct.