Bunuel
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
A. 41.25
B. 42.5
C. 43.75
D. 45.0
E. 57.5
Let the flow rate for the three hours be a,b,c respectively.
Second hour flow rate (b) = 15 gallons per hour.
Second hour flow rate (b) = 50% faster than First hour flow rate (a)
b = (3/2) a
15 = (3/2)*a
a = 10 gallons per hour C = 25% more than the water flowing through second gallon.
C = (5/4)* 15
C = 75/4 = 18.75
C = 18.75 gallons per hour. Total gallons per hour = a+b+c = 10+15+18.75 = 43.75
Option CCan be done using ratios. a:b = 2:3
b:c = 4:5
Then, a: b: c = 8:12:15 = 8x : 12x : 15x
Totally 35x
Given that 12x = 15 , then x = (5/4)=1.25
Total = 35x = 35 * 1.25 =
43.75 Option C