Car and motorcyclist

A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds.

Correct result:

a =  60 km/h
b =  50 km/h

Solution:

190 = a•(1+30/60) + b•(1+30/60+30/60)
a = 10 + b

90a+120b = 11400
a-b = 10

a = 60
b = 50

Our linear equations calculator calculates it.

$b=50=50\text{ km/h}$

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