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A+B+C fill tank in 45 min. B+C fill in 75 min. B=100% more efficient than C. Find time for A+B.

1. 56.25 minutes
2. 50.25 minutes
3. 46.25 minutes
4. 54.25 minutes

Correct answer: 56.25 minutes

Solution

Rate(A+B+C)=1/45. Rate(B+C)=1/75. Rate(A)=1/45-1/75=2/225. B=100% more efficient than C → B=2C. Rate(B+C)=3C=1/75 → C=1/225, B=2/225. Rate(A+B)=2/225+2/225=4/225. Time=225/4=56.25 min.

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