The formula below is often used by project managers to compute E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time.E = 0 + 4M + P / 6Which of the following correctly gives P in terms of E, O, and M?
Correct answer: A. P = 6E - O - 4M
- A. P = 6E - O - 4M
- B. P = -6E + O + 4M
- C. P = O + 4M + E / 6
- D. P = O + 4M - E / 6
Explanation
Choice A is correct. Multiplying both sides of the equation by 6 results in 6E = O + 4M + P. Then, subtracting O + 4M from both sides of 6E = O + 4M + P gives P = 6E − O - 4M.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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