Question - Project Time Allocation Calculation
Solution:
The question states that the time spent on a project is split between planning, implementation, and quality control in the ratio 2:5:1. It is also given that 30 hours were spent on planning.Let's denote the amount of time spent on planning, implementation, and quality control as P, I, and Q, respectively. Then we have P : I : Q = 2 : 5 : 1.Since we know that 30 hours were spent on planning, P = 30. Now let's find out the total value of the parts according to the given ratio. The parts in the ratio 2:5:1 sum up to 2 + 5 + 1 = 8 parts.We know that the time spent on planning (2 parts of the ratio) corresponds to 30 hours. To find out how many hours 1 part of the ratio represents, we can divide 30 hours by the 2 parts allocated for planning:1 part = 30 hours / 2 = 15 hoursNow we can find the total time by calculating the sum of all parts of the ratio:Total time = 8 parts × 1 part's valueTotal time = 8 parts × 15 hours/partTotal time = 120 hoursTherefore, the total time the project will take to complete is 120 hours.
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