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# p is thrice as good a workman as q and therefore able to finish a job in 48 days less than q. working together, they can do it in?

p is thrice as good a workman as q and therefore able to finish a job in 48 days less than q. working together, they can do it in? The Correct answer is 18 days.

by J Nandhini

**Updated **Feb 26, 2024

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## p is thrice as good a workman as q and therefore able to finish a job in 48 days less than q. working together, they can do it in?

The Correct answer is **18 days.**

**Explanation**

**Step 1: Define variables**

- Let x be the number of days it takes Q to complete the job alone.
- Let y be the number of days it takes P and Q to complete the job together.

**Step 2: Translate the information into equations**

- P is thrice as good as Q: This means P can finish the job in x / 3 days.
- P finishes the job 48 days less than Q: This translates to the equation x - 48 = x / 3.

**Step 3: Solve for x**

- Combine like terms in the second equation: 2x / 3 = 48
- To isolate x, multiply both sides by 3/2: x = 72

**Step 4: Find the time taken when working together (y)**

- Substitute the value of x (72) into the equation from Step 1: 4/x = 1/y
- Substitute x = 72: 4/72 = 1/y
- To isolate y, multiply both sides by 72y: 4 = y

Therefore, working together, P and Q can finish the job in 18 days.

## p is thrice as good a workman as q and therefore able to finish a job in 48 days less than q. working together, they can do it in? - FAQ

1. p is thrice as good a workman as q and therefore able to finish a job in 48 days less than q. working together, they can do it in?

The Correct answer is 18 days.

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