SOLUTION: A community water tank can be filled in 10 hours by the town office well alone and in 16 hours by the high school well alone. How long will it take to fill the tank if both wells a

Question 200114: A community water tank can be filled in 10 hours by the town office well alone and in 16 hours by the high school well alone. How long will it take to fill the tank if both wells are working together?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A community water tank can be filled in 10 hours by the town office well alone and in 16 hours by the high school well alone. How long will it take to fill the tank if both wells are working together?
.
Rate of town office well: 1 tank per 10 hours : 1/10
Rate of high school well: 1 tank per 16 hours : 1/16
.
Let x = number of hours required for both wells
then
x(1/10 + 1/16) = 1
x/10 + x/16) = 1
Multiplying both sides by 160 (common denominator):
16x + 10x = 160
26x = 160
x = 160/26
x = 6.154 hours
RELATED QUESTIONS
A community water tank can be filled in 18hr by the town office well alone and in 22hr by (answered by uma)

A pond can be filled with runoff water in 6 hours. It can be filled with well water in 9... (answered by nerdybill)

A water tank can be filled with a large inlet pipe and a small inlet pipe in three hours. (answered by josmiceli)

A tank can be filled in 18 hours by pipe A alone and in 22 hours by pipe B alone. How... (answered by mananth)

a water tank can be filled in 20 hours by an inlet pipe and emptied in 25 hours by an... (answered by stanbon)

A water tank can be filled in 20 hours by an inlet pipe and emptied in 24 hours by an... (answered by sudhanshu_kmr)

A water tank can be filled in 24 hours by an inlet pipe and emptied in 30 hours by an... (answered by addingup)

A water tank can be filled in 20 hours by an inlet pipe and emptied in 25 hours by an... (answered by Alan3354,ikleyn)

A water tankin a farm can be filled using both a large inlet pipe and a small inlet... (answered by josgarithmetic)