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Pump A fills a tank in 30 minutes at a running cost of ₹ 5 per minute; pump B fills it in 60 minutes at ₹ 2 per minute. The empty tank must be full in exactly 40 minutes. If B runs the whole 40 minutes and A only as long as needed, what is the least cost?

Competition practicePipes & Cisterns
  • A₹280
  • B₹120
  • C₹130
  • D₹150

Step-by-Step Solution

B in 40 min fills ; A must fill , i.e. run 10 min. Cost . (₹280 runs both for 40 min; ₹120 is B alone, which is too slow.)
Answer: C) ₹130

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