Exams › IBPS PO › Quantitative Aptitude

A and B together fill a tank in 36 minutes. B closed after 30 minutes; tank fills in 40 minutes total. Find time for B alone.

1. 45 minutes
2. 60 minutes
3. 75 minutes
4. 90 minutes

Correct answer: 90 minutes

Solution

A+B together: rate=1/36. They work 30 min together then A works 10 min alone. 30×(1/36)+10×rate_A=1 → 5/6+10×rate_A=1 → rate_A=1/60 → A alone=60 min. Rate_B=1/36-1/60=(5-3)/180=2/180=1/90. B alone=90 min.

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