Time and Work-Hard level test 3 Solved questions with detailed explanations

21)

8 men can finish a piece of work in 40 days. If 2 more men join with them, then the work will be completed in

[NICL GIC(AO), 2013]

A)
30 days
B)
32 days
C)
36 days
D)
25 days
E)
None of these

Answer: Option A

Explanation

According to the formula,

M₁ D₁ = M₂ D₂

M₁ = 8, D₁ =40, M₂ = 10, D₂ = ?

⇒ D_{2 $= \frac{80 \times 40}{10} = 30 d a y s .$}

Hence option A is the correct.

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Discussion

22)

30 men can do a piece of work in 16 days. How many men would be required to do the same work in 20 days?

A)
12 men
B)
36 men
C)
48 men
D)
24 men
E)
None of these

Answer: Option D

Explanation

According to the formula,

M₁ D₁ = M₂ D₂

M₁ = 30, D₁ =16, M₂ = ?, D₂ = 20,

$M_{2} = \frac{30 \times 16}{20} = 24 m e n$

Hence option D is the correct.

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Discussion

23)

15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men?

[LIC (AAO), 2009]

A)
18 days
B)
20 days
C)
25 days
D)
30 days
E)
35 days

Answer: Option D

Explanation

According to the formula,

M₁ D₁ H₂ = M₂ D₂ H₁

here,

M₁ = 15, D₁ =21, H₁ =8, M₂ = 14, D₂ = ?, H₂= 6,

⇒ 15×21×8=14×D₂×1

$\Rightarrow D_{2} = \frac{15 \times 21 \times 8}{14 \times 6} = 30 d a y s .$

Hence option D is the correct.

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Discussion

24)

9 men working for 7 hours a day can complete a piece of work in 15 days. In how many days can 6 men working for 9 hours a day, complete the same piece of work?

[RBI (Scale 1), 2008]

A)
$17 \frac{1}{2}$ days
B)
$16 \frac{3}{4}$ days
C)
16 days
D)
$15 \frac{3}{4}$ days
E)
None of these

Answer: Option A

Explanation

According to the formula,

M₁ D₁ H₂ = M₂ D₂ H₁

Here,

M₁ = 9, D₁ =15, H₁ =7, M₂ = 6, D₂ = ?, H₂=9,

⇒ 9×15×7=6×D₂×9

$\Rightarrow D_{2} = \frac{9 \times 7 \times 15}{6 \times 9} = \frac{35}{2} = 17 \frac{1}{2} d a y s .$

Hence option A is the correct.

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Discussion

25)

Two men alone or three women alone can complete a piece of work in 4 days. In how many days can one woman and one man together complete the same piece of work?

[Corporation Bank (PO), 2011]

A)
6 days
B)
$\frac{24}{5}$ days
C)
$\frac{12}{1.75}$ days
D)
Cannot be determined
E)
None of these

Answer: Option B

Explanation

According to the question,

2 men = 3 women

⇒ 1 man = $\frac{3}{2}$ women

⇒1 man +1 woman

= $\frac{3}{2}$ women +1 women

= $\frac{5}{2}$ women ...(1)

∴ Number of days = $\frac{3 \times 4}{\frac{5}{2}} = \frac{12 \times 2}{5} = \frac{24}{5}$

Hence option B is the correct.

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Discussion

Time and Work-Hard test 3

Answer: Option A

Answer: Option D

Answer: Option D

Answer: Option A

Answer: Option B