Final answer:
To find the rate in trucks per hour, set up a proportion and solve for x. The rate in trucks per hour is 12 trucks per hour.
Step-by-step explanation:
To find the rate in trucks per hour, we need to determine how much of the truck is loaded in one hour. We know that two thirds of the truck is loaded in one sixth of an hour.
To find the rate, we can set up a proportion. If two thirds of the truck is loaded in one sixth of an hour, then what fraction of the truck is loaded in one hour?
Two thirds is to one sixth as x is to one hour:
2/3 : 1/6 = x : 1
Cross-multiplying, we get:
2/3 * 1 = 1/6 * x
2/3 = 1/6 * x
Multiplying both sides by 6:
2 = x/6
Multiplying both sides by 6:
12 = x
The rate in trucks per hour is 12 trucks per hour.
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