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
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-> 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
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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):
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
