Please solve all it asks below, thanks?

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1 Answer
Jim G.
Dec 14, 2017

#"see explanation"#

Explanation:

#"the quantities of time and number of pumps"#

#color(blue)"vary inversely"#

#"that is as one quantity increases the other decreases"#

#"let time be t and number of pumps be p"#

#rArrtprop1/p#

#"to convert to an equation multiply by k the constant"#
#"of variation"#

#rArrt=k/p#

#"to find k use the given condition"#

#p=3" when "t=8#

#rArrk=tp=8xx3=24larrcolor(red)"constant of variation"#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(t=24/p)color(white)(2/2)|))#

#"when "p=4#

#rArrt=24/4=6" hours"#

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