A can do a work in 17 days and B in 23 days. If they work on it together for 5…

2026

A can do a work in 17 days and B in 23 days. If they work on it together for 5 days, then what fraction of the work is left?

  1. A.

    191/391

  2. B.

    194/391

  3. C.

    188/191

  4. D.

    189/191

Attempted by 21 students.

Show answer & explanation

Correct answer: A

Step 1: Find the 1-day work of A and B.
A's 1-day work = 1/17
B's 1-day work = 1/23

Step 2: Find their combined 1-day work.
(A + B)'s 1-day work = (1/17) + (1/23)
= (23 + 17) / (17 × 23)
= 40 / 391

Step 3: Calculate the total work done in 5 days.
Work done in 5 days = 5 × (40 / 391) = 200 / 391

Step 4: Find the fraction of work left.
Total work is always considered as 1.
Remaining work = 1 - (200 / 391)
= (391 - 200) / 391
= 191 / 391

Final Answer: Option A

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