May P.

asked • 03/18/20# Inverse Variation Word Problem

Lily and James are doctors that do check-ups at a local clinic. Lili can do 3 more check-ups per hour. Lily does 80 check-ups while James does 70 check-ups and James is done 4 hours later. How many check-ups does Lily do per hour?

## 1 Expert Answer

Mark M. answered • 03/18/20

Mathematics Teacher - NCLB Highly Qualified

j represent James' rate, j + 3 represents Lily's rate

80 / j represents time James took

70 / (j + 3) represents time Lily took

80 / j = [70 / (j + 3) + 4]

80 / j = [70 + 4(j + 3)] / (j + 3)

80(j + 3) = j[70 + 4(j + 3)]

80j + 240 = 82j + 4j^{2}

0 = 4j^{2} + 2j - 240

0 = 2j^{2} + j - 120

0 = (2j - 15)(j + 8)

James work for 7.5 hours

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Michael H.

Not sure how to interpret "Lili can do 3 more check-ups per hour." Did you mean "Lili can do 3 more check-ups per hour than James" ?03/18/20