Time and Work-Basic test 2

Answer: Option C

Explanation

According tot he question,

A takes x and B takes 3x days to finish the job

 ⇒ 3x - x=30

∴ x=$\frac{30}{2}$=15 days

Time taken by B to complete the work = 3x = 3×15= 45 days

In 1 day (A+B) can complete$=\frac{1}{15}+\frac{1}{45}=\frac{3+1}{45}=\frac{4}{45}$

∴ (A+B) will finish the work in $\frac{45}{4}=11\frac{1}{4}$days

Hence option C is the correct.

Answer: Option E

Explanation

Here,

M₁ = 5, T₁ =7, W₂ =35

M₂ = ?, _T2 = 3, W₁ = 65

So according to the formula,

     M₁ T₁ W₂ = M₂ T₂ W₁

  $$\begin{gathered} 5\times 7\times 65=M_2\times 3\times 35 \\ \therefore M_2=\frac{5\times 7\times 65}{35\times 3}=\frac{65}{3} boys \end{gathered}$$

Hence option E is the correct.

Answer: Option B

Explanation

As we know that if a person can do a piece of work in n days, then 1 day work is given by $\frac{1 }{n}$.

Here, n = 33 days 

∴ So in one day Akanksha can complete $\frac{1}{33}$ part of the work

Hence option B is the correct.

Answer: Option A

Explanation

According to the proportionality relation

[More work, More time]

Anusha can complete an assignment in 6 days

three such assignments can be completed in 6 × 3 =18 days

Hence option A is the correct.

Answer: Option D

Explanation

According to the question,

Let us assume

time taken by B = x

then time taken by A = 2x

and time taken by C =3x

$=\frac{1}{x}+\frac{1}{2x}+\frac{1}{3x}=\frac{1}{12}$

⇒ $1+\frac{1}{2}+\frac{1}{3}=\frac{x}{12}$

$$\begin{gathered} \Rightarrow \frac{6+3+2}{6}=\frac{x}{12} \\ \Rightarrow 11=\frac{x}{2} \end{gathered}$$

∴   x=22

∴ Required no. of days= 2x= 2×22= 44 days

Hence option D is the correct .