Project Time Allocation Calculation
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 hours
Now we can find the total time by calculating the sum of all parts of the ratio:
Total time = 8 parts × 1 part's value
Total time = 8 parts × 15 hours/part
Total time = 120 hours
Therefore, the total time the project will take to complete is 120 hours.
