Algebra Puzzle – Challenge 39
Algebra Puzzle - Challenge 39 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
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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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