# Discussion of Question with ID = 077 under Time-and-Work

## This is the discussion forum for this question. If you find any mistakes in the solution, or if you have a better solution, then this is the right place to discuss. A healthy discussion helps all of us, so you are requested to be polite and soft, even if you disagree with the views of others. The question and its current solution has also been given on this page.

### Question

A, B and C can independently complete a work in 5, 15 and 13 days respectively. B and C start the work together, but A joins them after 2 days. In how many days will the work be completed?

A

\$4{5/67}\$ days.

B

\$5{5/67}\$ days.

C

\$6{5/67}\$ days.

D

\$7{5/67}\$ days.

Soln.
Ans: a

Use the shortcut formula. If A, B, C can independently complete the job in x, y and z days, and A joins after n days, the work is completed in \${xyz}/{xy + yz + zx}\$ × \$(1 + n/x)\$ days. Putting the various values x = 5, y = 15, z = 13, n = 2, and simplifying, we get \${273/67}\$, which is same as: \$4{5/67}\$.
The text passage contains a mathematical question about work completion rates and provides a solution with a specific answer.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Discussion of Question with ID = 077 under Time-and-Work

## This is the discussion forum for this question. If you find any mistakes in the solution, or if you have a better solution, then this is the right place to discuss. A healthy discussion helps all of us, so you are requested to be polite and soft, even if you disagree with the views of others. The question and its current solution has also been given on this page.

### Question

A, B and C can independently complete a work in 5, 15 and 13 days respectively. B and C start the work together, but A joins them after 2 days. In how many days will the work be completed?

A

\$4{5/67}\$ days.

B

\$5{5/67}\$ days.

C

\$6{5/67}\$ days.

D

\$7{5/67}\$ days.

Soln.
Ans: a

Use the shortcut formula. If A, B, C can independently complete the job in x, y and z days, and A joins after n days, the work is completed in \${xyz}/{xy + yz + zx}\$ × \$(1 + n/x)\$ days. Putting the various values x = 5, y = 15, z = 13, n = 2, and simplifying, we get \${273/67}\$, which is same as: \$4{5/67}\$.
user
The text passage contains a mathematical question about work completion rates and provides a solution with a specific answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER