Question

A pump connected to a generator operates at a varying rate, depending on how much power is being drawn from the generator to operate other machinery. The rate (gallons per minute) at which the pump operates is recorded at $5-$minute intervals for one hour as shown in Table. How many gallons were pumped during that hour?

• A. $3850$
• B. $3580$
• C. $2580$
• D. $2850$

Answer 1

The correct option is B $3580$

Given the table

According to trapezoid rule

${\int }_a^{b}ydx=\frac{h}{2}[y_0+y_n+2(y_1+y_2+...........+y_{n-1}\left)\right]h=\frac{60-0}{12}=5{\int }_0^{60}ydx=\frac{5}{2}[58+63+2(60+65+64+........63\left)\right]=\frac{5}{2}\left[1433\right]=3582.5$

Hence the correct answer is $3580$