An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
1 answer:
Answer:
<em>6 days</em>
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Step-by-step explanation:
Let the time taken by Carpenter working alone = days
Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 days
Time taken working together = 2 days
Work done in one day working together =
Work done in one day by Carpenter working alone =
Work done in one day by apprentice working alone =
Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = +
= Work done in one day working together =
Time taken by Carpenter alone to complete the work = 3 days
Time taken by Apprentice alone to complete the work = 3 2= <em>6 days</em>
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Answer:
The correct option is
Step-by-step explanation:
The parameters given are;
The length of the string = 10 inches
The speed or rate of travel of the wave = c inches per millisecond
The position on the string from the left-most end = x
The time duration of motion of the vibration to reach x= 0.3 milliseconds
The distance covered = Speed × Time = c×0.3
Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;
The location on the string where it is plucked = center of the string = 10/2 = 5 inches
Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches
Therefore, on the left side of the center of the string we have;
The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)
On the right side of the center, the distance from x is -(5 - x) = x - 5
Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is or
which gives the correct option as A