SOLUTION: An oil tanker can be emptied by the main pump in 5hours. An auxillary pump can empty the tanker in 9 hours. If the main pump is started at 5PM, when should the auxillary pump be
Algebra.Com
Question 338897: An oil tanker can be emptied by the main pump in 5hours. An auxillary pump can empty the tanker in 9 hours. If the main pump is started at 5PM, when should the auxillary pump be started so the tanker is emptied by 9PM?
How do I determine the "time"? I get to 1/9t=1/5 and not sure what to do.
Thank you.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
An oil tanker can be emptied by the main pump in 5hours. An auxillary pump can empty the tanker in 9 hours. If the main pump is started at 5PM, when should the auxillary pump be started so the tanker is emptied by 9PM?
.
From 5pm to 9pm is 4 hours...
.
Let x = number of hours to run aux pump
then
4(1/5) + x(1/9) = 1
4/5 + x/9 = 1
multiplying both sides by 45:
36 + 5x = 45
5x = 9
x = 9/5 hours
.
9/5 hour is the same as
9/5 * 60 = 108 minutes
1 hour and 48 minutes (time needed to run aux pump)
.
Time to start aux pump:
9 pm minus 1 hour and 48 minutes:
7:12 PM
RELATED QUESTIONS
An oil tanker can be emptied by the main pump in 4 hours.An auxiliary pump can empty the... (answered by josgarithmetic,ikleyn)
An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the (answered by ankor@dixie-net.com)
An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the (answered by lwsshak3)
An oil tanker can be emptied by the main pump in 4 hours.An auxiliary pump can empty the... (answered by ikleyn)
an oil tanker can be emptied by the main pump in 4 hours. an auxiliary pump can empty the (answered by stanbon)
please help
an oil tanker can be emptied by the main pump in 4 hours. an auxiliary pump... (answered by Theo)
an oil tanker can be emptied by the main pump in four hours. an auxilary pump can empty... (answered by scott8148,Edwin McCravy)
An oil tanker can be emptied by the main pump in 5 hours. An auxilary pump can empty the... (answered by ankor@dixie-net.com,Alan3354)
An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the (answered by josmiceli)