Janet and Martha both drive a distance of 96Km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer...

Janet and Martha both drive a distance of 96km but Martha average speed is 16km/hr slower than Janet's and consequently she takes 30 minutes longer to complete the journey. Calculate Janet's average speed.

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Let Janet xkm/hr
Martha (x-16)km/hr
96/x-16 - 96/x=1/2
96x-96x+1536=1/2x(x-16)
3072=X²-16x
x²-16x-3075=0
(x-64) (x+48)=0
x=64 or x=-48
x=64km/hr

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Belan answered the question on February 25, 2019 at 09:19

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