Harolds mother, who lives across the street, is pouring a concrete driveway, 18 feet wide and 9 inches thick, from the street straight to her house. This is to much work for Harold to do in one day, so his mother has agreed to buy 4 cubic's yards of concrete each saturday for 4 consecutive saturday. How far is it from street to her house? Round your final answer and intermediate calculations to the nearest whole number is necessary.
18 feet = 6 yards
9 inches = 0.25 yards
6 * 0.25 = 1.5
1 linear yard of pavement = 1.5 cubic yards
4 * 4 = 16 cubic yards of concrete
16/1.5 = 10.667 yards
The driveway is 10.667 yards long or 32 feet long.
To find the distance from the street to Harold's mother's house, we need to calculate the total volume of concrete required for the driveway and then divide it by the width of the driveway to get the length.
First, let's convert the thickness of the driveway from inches to feet:
9 inches = 9/12 = 0.75 feet
Next, let's calculate the total volume of concrete required for the driveway.
Since the driveway is 18 feet wide and 0.75 feet thick, the volume of concrete required for each Saturday is:
18 feet * 0.75 feet * 4 cubic yards = 54 cubic feet
Given that Harold's mother buys 4 cubic yards of concrete each Saturday for 4 consecutive Saturdays, the total volume of concrete used for the entire driveway is:
54 cubic feet * 4 Saturdays = 216 cubic feet
Finally, we can calculate the length of the driveway by dividing the total volume of concrete by the width of the driveway:
Length = Total volume of concrete / Width of driveway
Length = 216 cubic feet / 18 feet
Dividing 216 by 18, we find that the length of the driveway is:
Length = 12 feet
So, the distance from the street to Harold's mother's house is approximately 12 feet.