Brno-Tachov highway

The distance Brno-Tachov is 360 km. At 8:00 a. M. , a car travels from Brno on the highway, traveling at an average speed of 90 km/h. An hour later, a car leaves Tachov towards Brno, whose average speed is 110 km/h. Calculate how far apart they will be at 11:00 am, when the distance from Tachov-Plzeň is 60 km, Plzeň-Prague 100 km and Prague-Brno 200 km. Cars move only on this highway and against each other.

Correct result:

x =  130 km

Solution:

s=360 km  v1=90 km/h v2=110 km/h  t1=11.008.00=3 h t2=11.009.00=2 h  s1=v1 t1=90 3=270 km s2=v2 t2=110 2=220 km  s3=s1+s2=270+220=490 km s3>s  x=s3s=490360=130 km



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