The average number of bends which an electrician can finish per hour on a defective conduit bender is 2/3 the number that can be finished per hour on a bender in good repair. If it requires 45 minutes to bend 9 conduits with a defective bender, how many bends per hour can be finished with a bender in good repair?
the working bender takes 2/3 as long to do the work
2/3 * 45 = 30 minutes for 9 bends
so, how many in an hour?
Thank you
Let's assume the number of bends per hour that can be finished with a bender in good repair is "x".
According to the given information, the average number of bends finished per hour on a defective bender is 2/3 the number finished on a good bender.
Therefore, the number of bends finished per hour with a defective bender is (2/3)x.
We are also given that it took 45 minutes (which is 3/4 of an hour) to bend 9 conduits with a defective bender.
So, the number of bends finished in an hour with a defective bender is (9 / (3/4)) = (9 * (4/3)) = 36/3 = 12 bends.
Since we know that (2/3)x = 12, we can solve for x using algebra.
Multiply both sides of the equation by 3/2 to isolate x: x = (12 * (3/2)) = 18.
Therefore, a bender in good repair can finish 18 bends per hour.
To find the number of bends per hour that can be finished with a bender in good repair, we first need to determine the number of bends that can be finished per hour with the defective bender.
We are given that the average number of bends per hour on the defective bender is 2/3 the number on a good bender. Let's represent the number of bends that can be finished per hour on the good bender as x.
So, the number of bends per hour on the defective bender would be (2/3)x.
We are also given that it takes 45 minutes to bend 9 conduits with the defective bender. To find the number of bends per minute, we divide the number of bends by the time in minutes:
Number of bends per minute = 9 bends / 45 minutes = 1/5 bends per minute.
Since there are 60 minutes in an hour, we can multiply the number of bends per minute by 60 to find the number of bends per hour with the defective bender:
Number of bends per hour with defective bender = (1/5) * 60 = 12 bends per hour.
Now, we can set up an equation to solve for x, the number of bends per hour with a bender in good repair:
(2/3)x = 12.
To solve for x, we multiply both sides of the equation by (3/2):
x = 12 * (3/2) = 18 bends per hour.
Therefore, a bender in good repair can finish 18 bends per hour.