SOLUTION: a 5 horsepower(hp) pump can empty a pool in 5 gours. A smaller, 2hp pump empties the same pool in 8 hours. The pumps are used together to being emptying this pool. After two hours,
Algebra.Com
Question 417447: a 5 horsepower(hp) pump can empty a pool in 5 gours. A smaller, 2hp pump empties the same pool in 8 hours. The pumps are used together to being emptying this pool. After two hours, the hp pump breaks down. How long will it take the larger pump top empty the pool?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A 5 hp pump can empty a pool in 5 hrs.
A smaller, 2 hp pump empties the same pool in 8 hours.
The pumps are used together to begin emptying this pool.
After two hours, the 2 hp pump breaks down.
How long will it take the larger pump to empty the pool?
:
Let t = time for the larger pump to complete emptying the pool
:
Operating time of the larger pump = (t+2)
Operating time of the smaller pump = 2
:
Let the completed job = 1; (an empty pool)
:
+ = 1
multiply by 40
40* + 40* = 40(1)
cancel the denominators and you have:
8(t+2) + 5(2) = 40
:
8t + 16 + 10 = 40
8t + 26 = 40
8t = 40 - 26
8t = 14
t = 14/8
t = 1.75 hrs for the large pump to complete the job (Total time of large pump = 3.75)
:
:
Check this:
3.75/5 + 2/8 =
.75 + .25 = 1; confirms our solution
RELATED QUESTIONS
A 5-horsepower (hp) pump can empty a pool in 5 hours.A smaller, 2-hp pump
empties the... (answered by ikleyn,MathTherapy,AnlytcPhil,greenestamps)
A 5-horsepower (hp) pump can empty a pool in 5 hours.A smaller, 2-hp pump empties the... (answered by josgarithmetic,mananth,math_tutor2020,ikleyn,mccravyedwin)
A 5-horsepower (hp) pump can empty a pool in 5 hours. A smaller, 2-hp pump empties the... (answered by Paul)
a 5 horsepower (hp) pump can empty a pool in 5 hours. a smaller, 2 hp pump empties the... (answered by stanbon)
A 5 horsepower pump can empty a pool in 5 hours. A smaller 2 horsepower pump empties the... (answered by Abbey)
A 5-horsepower (hp) pump can empty a pool in 5 hours. A smaller, 2-hp pump can empty a... (answered by ankor@dixie-net.com)
One pump can empty a swimming pool in 10 hours. A second pump can empty the same pool in... (answered by stanbon)
A swimming pool can be emptied in 36 hours using a 10-horsepower pump along with... (answered by Boreal)
Pump A can empty a swimming pool in 5 hours, pump B can empty it in 8 hours, and pump C... (answered by ikleyn,greenestamps)