Final answer:
Mr. Lopez can spread approximately 2.67 cubic yards of pebbles in one hour.
Step-by-step explanation:
To find out how many cubic yards of pebbles Mr. Lopez can spread in one hour, we can use the given information of 2 cubic yards of pebbles being spread in 3/4 hour.
First, we need to find the rate of pebble spreading in one hour. Since there are 60 minutes in one hour, we can divide 3/4 hour by 60 minutes to find the rate per minute.
3/4 hour = (3/4) x 60 minutes = 45 minutes
So, the rate of pebble spreading is 2 cubic yards in 45 minutes.
To find the rate in one hour, we can set up a proportion.
2 cubic yards / 45 minutes = x cubic yards / 60 minutes
Cross-multiplying, we have 2 * 60 = 45 * x
120 = 45 * x
Dividing both sides by 45, we find x = 120 / 45 = 2.67
Therefore, Mr. Lopez can spread approximately 2.67 cubic yards of pebbles in one hour.