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Time and Work

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Friday, March 28, 2025

A can complete a work in 12 days and B can complete the same work in 24 days. Find the time taken by both A and B together to complete the work.

March 28, 2025 |

General Aptitude, RRB NTPC Exam 27 Jan 2021, Solved, Time and Work

A can complete a work in 12 days and B can complete the same work in 24 days. Find the time taken by both A and B together to complete the work.

A8 days

B10 days

C6 days

D9 days

Akhilesh Mar 31 '25 at 21:54

correct answer is: option a (8 days)
Explanation: Let A's one day work be $\frac{1}{12}$ and B's one day work be $\frac{1}{24}$ .
Then, (A + B)'s one day work = $\frac{1}{12} + \frac{1}{24} = \frac{2+1}{24} = \frac{3}{24} = \frac{1}{8}$ .
Therefore, A and B together can complete the work in 8 days.

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A can complete a task in 16 days and B is 4 times faster than A. Find the part of work done by both A and B together in 1 day.

March 28, 2025 |

General Aptitude, RRB NTPC Exam 27 Jan 2021, Solved, Time and Work

A can complete a task in 16 days and B is 4 times faster than A. Find the part of work done by both A and B together in 1 day.

A

$\frac{5}{8}$

B

$\frac{3}{16}$

C

$\frac{5}{16}$

D

$\frac{3}{20}$

Akhilesh Mar 30 '25 at 22:15

correct answer is: option c) $\frac{5}{16}$
Explanation: First, find B's work rate. Since B is 4 times faster than A, B takes 1/4 the time A takes to complete the work.
Therefore B can complete the work in 16/4 = 4 days.
A's work rate is $\frac{1}{16}$ per day, and B's work rate is $\frac{1}{4}$ per day.
Together, their work rate is $\frac{1}{16} + \frac{1}{4} = \frac{1}{16} + \frac{4}{16} = \frac{5}{16}$ .

Option a: $\frac{5}{8}$ is incorrect. This value is much higher than what A and B can do together in a day.

Option b: $\frac{3}{16}$ is incorrect. This is not the correct sum of the individual work rates.

Option c: $\frac{5}{16}$ is correct. This is the sum of A's and B's work rate per day.

Option d: $\frac{3}{20}$ is incorrect. This value is obtained by the wrong calculation.

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Saturday, February 1, 2020

9 children can complete a piece of work in 360 days, 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?

February 01, 2020 |

General Aptitude, INSURANCE EXAMS (NICL) 2013, Solved, Time and Work

9 children can complete a piece of work in 360 days, 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?

A68 days

B81 days

C96 days

D124 days

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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 ?

February 01, 2020 |

General Aptitude, INSURANCE EXAMS (NICL) 2013, Solved, Time and Work

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 ?

A3

B5

C7

DCannot be determined

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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

February 01, 2020 |

General Aptitude, INSURANCE EXAMS (NICL) 2013, Solved, Time and Work

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

A30 days

B32 days

C36 days

D25 days

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