# Algebra Puzzle – Challenge 39

Love to challenge your brain? Want to check your logic and critical thinking? Let's take a look at another great math puzzle!

## Challenge:

Joe and Mark can finish a job together in 100 minutes. If Joe can do the job by himself in 5 hours, how many minutes does it take Mark to finish the job?

**A-** 120

**B-** 150

**C-** 180

**D-** 200

**E-** 220

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The correct answer is B.

5 hours = 300 minutes. Use the formula: \(\frac{1}{a} + \frac{1}{b} = \frac{1}{t}\)

Where, a is the rate for the first person and b is the rate of the second person. Joe can finish the job in 5 hours (300 minutes) and they both can finish the job in 100 minutes.

\(\frac{1}{300} + \frac{1}{b} = \frac{1}{100} → \frac{1}{b} = \frac{1}{100} – \frac{1}{300}→ b = 150\)

150 minutes takes Mark to finish the job

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