SOLUTION: A container 80cm/60cm/70cm needs to be filled up completely with water. Tube A supplies 24l of water per minute and Tube B supplies 18l of water per minute. Mr Tan fills up the con
Algebra.Com
Question 1029990: A container 80cm/60cm/70cm needs to be filled up completely with water. Tube A supplies 24l of water per minute and Tube B supplies 18l of water per minute. Mr Tan fills up the container by taking turns to use both Tubes for 17minutes. How long does he use each of the Tubes?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let tube A be open for x minutes
Tube B for y minutes
x+y=17........................(1)
The capacity of tank is 336 liters (70x60x80)/1000
Pipe B will fill the tank in 336/24=14 minutes
Pipe A will fill the tank in 336/18=18.66 minutes
18.66x+14y=336...............................(2)
x= Time open for A
y= Time open for B
1 x + 1 y = 17 .............1
Tank filling by both tubes
19 x + 24 y = 336 .............2
Eliminate y
multiply (1)by -24
Multiply (2) by 1
-24 x -24 y = -408
19 x + 24 y = 336
Add the two equations
-5 x = -72
/ -5
x = 13
plug value of x in (1)
1 x + 1 y = 17
13 + y = 17
y = 17 -13.48
y = 4
y = 4
x= 13 Time open for A
y= 4 Time open for B
m.ananth@hotmail.ca
RELATED QUESTIONS
Hi
a container measures 18cm by 22cm by 30cm.it is half filled with water. Water from a (answered by ankor@dixie-net.com,Shin123,KMST)
A tank is 80cm in length, 50cm in width and 60cm in height. It is half filled with water. (answered by ikleyn)
A rectangular container, 60 cm. long, 35 cm. wide and 10 cm. high is half filled with... (answered by josmiceli)
If a cube were to be filled with water flowing at a rate of 2 liters per minute, how many (answered by Alan3354)
A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the... (answered by NeedHelpUrgently,Alan3354)
A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the... (answered by Theo)
An empty cylindrical glass tube has radius r cm and its height is 20cm. A plastic... (answered by addingup)
A rectangular container measures 30cm long,20 cm wide and 15 cm high.It is filled with... (answered by josgarithmetic)
A rectangular fish tank can be filled with 134,74 litres of water. Calculate the height... (answered by thesvw)