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Posted by Denis Borris on 25/10/2009, 7:07 am
open-top empty container C is outside
at 0 hours, a steady heavy rain starts
rain enters C at rate of R gallons per hour (gph)
Jack jumps in C as soon as the rain starts
Jack takes water out at 1/6 R gph for 9 hours:
at this point, rain slows to 1/3 R gph, and Jack triples his speed
13 hours later, the rain stops:
at this point, Jack reduces his current speed by 8 gph,
and empties C in 10 hours
OK; if Jack handled a total of 778 gallons in this 32hour period,
what is the size of C in gallons, and the rain speed at start?
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