It can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for four hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. Find using quadratic equation how long would it take for each pipe to fill the pool separately ?
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Answers
Answer:
Please see the attachment
Answer:
larger : 20 hrs & smaller : 30 hrs
Step-by-step explanation:
x hours : larger tap alone can fill
y hours : smaller tap alone can fill
1/x : the part filled in one hour by larger
1/y : the part filled in one hour by smaller
1/x + 1/y : the part filled in by both in an hour
4(1/x) + 91/y) : the part filled in 4hr & 5hr by both
now.....the given things....
1/x + 1/y =1/12...........(1)
4(1/x) + 9(1/y) = 1/2.....(2)
reducing to Linear Equation ....
put 1/x = a & 1/y = b
a + b = 1/12........(3)
4a + 9b = 1/2.. .........(4)
solving (3( & (4). ..we get ....
b = 1/30 & a = 1/20
means...1/x = 1/20 ; x = 20 and ...
1/y = 1/30 ; y = 30
hence larger pipe fills alone in 20 hrs and the smaller in 30 hrs
Note : it's not a quadratic equation question