Aspire Faculty ID #13819 · Topic: JAMIA MILLIA ISLAMIA MCA 2021 · Just now
JAMIA MILLIA ISLAMIA MCA 2021

Two pipes A and B can fill a tank in 12 min and 16 min respectively. Both are opened together; after how much time should B be closed so that the tank gets filled in 9 min?

Solution

Rates A=1/12, B=1/16. Let B run for t minutes, then only A for (9−t).
t(1/12+1/16) + (9−t)(1/12) = 1 ⇒ t(7/48) + (9−t)(1/12) = 1 ⇒ t=4.

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