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Time and Work - Aptitude Questions and Answers

### Time and Work Questions and Answers

#### Article

Q 1

J can dig a well in 16 days. P can dig a well in 24 days. J, P, H dig in 8 days. In how many days can H alone can dig the well?

A)

32

B)

48

C)

96

D)

24

Correct Option - B

Explanation

(1/16)+(1/24)+(1/H) = 1/8

1/H = 1/48

H can dig the well in 48 days.

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Q 2

David and Michael charged Mr. Jimenez \$3,000 to remodel his basement. To complete the project, David worked 4 days alone, Michael worked 1 day alone, and they worked 10 days together. If they each received the same amount of money for each day that they worked, how much of the \$3,000 did David receive?

A)

\$1,800

B)

\$1,750

C)

\$1,680

D)

\$1,575

Correct Option - C

Explanation

David worked for 14 days and Michael worked for 11 days.

= (14/25)*3000

= \$ 1680

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Q 3

B alone can do piece of work in 10 days. A alone can do it in 15 days. If the total wages for the work is Rs 5000, how much should B be paid if they work together for the entire duration of the work?

A)

Rs.2000

B)

Rs.2400

C)

Rs.3000

D)

Rs.3200

Correct Option - C

Explanation

Ratio of the time taken by A and B

= 15:10 = 3:2

Time and work are inversely proportional.

Ratio of the work done by A and B

= 2:3

Amount to be paid to B

= (3/5)*5000

= Rs.3000

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Q 4

A father is 5 times faster than the son. The father completes a work 40 days before the son. If both of them work together, when will the work be completed?

A)

8 days

B)

8 (1/3) days

C)

10 days

D)

20 days

Correct Option - B

Explanation

Time taken is inversely proportional to efficiency.

Since the father is 5 times faster than the son, the time taken by the father and son to complete the work will be in the ratio 1:5.

Let the no. of days be x and 5x.

The father takes 40 days less.

5x-x=40

x=10

If both of them work together,

(10*50)/(10+50)

= 500/60

= 8 1/3 day

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Q 5

A man was engaged on a job for 30 days on the condition that he would get a wage of Rs.10 for the day he works, but he have to pay a fine of Rs.2 for each day of his absence. If he gets Rs.216 at the end, he was absent for work for ____ days.

A)

7

B)

8

C)

9

D)

10

Correct Option - A

Explanation

Let x be the no. of days he was absent.

10(30-x) - 2x = 216

300-10x-2x=216

12x=84

x=7

He was absent for 7 days.

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Q 6

If 28 men can finish a work in 15 days, 21 men can finish the same work in

A)

24 days

B)

14 days

C)

15 days

D)

20 days

Correct Option - D

Explanation

Time and Men are inversely proportional.

Time taken by 28 men to finish the work

= 15 days

Time taken by a man to finish the work

= 15*28 days

Time taken by 21 men

= (15*28)/21

= 20 days

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Q 7

A completes 40% of a work in 8 days. If B is 60% as efficient as A, find the time taken by complete the rest of the work.

A)

20 days

B)

18 days

C)

30 days

D)

24 days

Correct Option - A

Explanation

Time taken by A to complete 60% of the work

= 8*60/40

= 12 days

B is 60% as efficient as A

Time taken by B to complete 60% of the work

= 12*100/60

= 20 days