Mr.lopez is spreading pebbles around a water garden.he spreads 2 cubic yards of pebbles in 3/4 at this rate how many cubic yards of pebbles can he spread in one hour
To find out how many cubic yards of pebbles Mr. Lopez can spread in one hour, we need to know the rate at which he spreads the pebbles.
If Mr. Lopez spreads 2 cubic yards of pebbles in 3/4 hour, we can set up a proportion to find the rate:
2 cubic yards / (3/4 hour) = x cubic yards / (1 hour)
To solve for x, we can multiply both sides of the equation by (1 hour) and divide by (3/4 hour):
x = (2 cubic yards * 1 hour) / (3/4 hour)
= 8/3 cubic yards
Therefore, Mr. Lopez can spread 8/3 or 2 and 2/3 cubic yards of pebbles in one hour.
To find out how many cubic yards of pebbles Mr. Lopez can spread in one hour, we need to know the rate at which he spreads the pebbles. The given information states that he spreads 2 cubic yards of pebbles in 3/4 (three-fourths) of an hour.
To determine the rate of pebble spreading per hour, we can divide the amount of pebbles spread by the time taken:
Rate = Amount of pebbles spread / Time taken
Rate = 2 cubic yards / (3/4 hour)
To simplify this division, we can multiply the numerator (2 cubic yards) by the reciprocal of the denominator (3/4 hour).
Reciprocal of 3/4 hour = 4/3 hour
Rate = 2 cubic yards * (4/3 hour)
Now, we can multiply the numerator (2 cubic yards) by the fraction (4/3):
Rate = (2 cubic yards) * (4/3) = 8/3 cubic yards
Therefore, Mr. Lopez can spread 8/3 (eight-thirds) cubic yards of pebbles in one hour.
To find out how many cubic yards of pebbles Mr. Lopez can spread in one hour, we need to determine his rate of spreading pebbles per hour.
First, let's convert 3/4 of an hour to minutes. Since there are 60 minutes in an hour:
3/4 hour = (3/4) * 60 minutes = 45 minutes
Now, we know that Mr. Lopez spreads 2 cubic yards of pebbles in 45 minutes. To find his rate per hour, we can set up a proportion:
2 cubic yards / 45 minutes = x cubic yards / 60 minutes
Simplifying the proportion:
2/45 = x/60
To solve for x (the number of cubic yards Mr. Lopez can spread in one hour), we can cross-multiply:
2 * 60 = 45 * x
120 = 45x
To isolate x, divide both sides by 45:
120/45 = x
Simplifying:
x ≈ 2.67 cubic yards
Therefore, Mr. Lopez can spread approximately 2.67 cubic yards of pebbles in one hour at this rate.