fish tank can be filled in 10 minutes using both pumps A and B simultaneously. Hospump B can pump water in or out at the same rate. If pump B is inadvertently run inthen the tank will be filled in 30 minutes. How long would it take each pump to fill theitself ? (Use Cramer's rule to solve the problem)
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Answer:
A alone can fill in 15 mins
B alone can fill in 30 mins
Step-by-step explanation:
Let say pump A alone can fill tank in A mins
Pump B alone can fill Tank in B mins
A pump fill in 1 min = 1/A
B pump fill in 1 min = 1/B
A& B together in 1 min = 1/A + 1/B
1/A + 1/B = 1/10
1/A - 1/B = 1/30
Adding both
2/A = 4/30
=> A = 15
1/15 + 1/B = 1/10
=> 1/B = 1/30
=> B = 30
A alone can fill in 15 mins
B alone can fill in 30 mins
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