Simultaneously 83009

A passenger train will travel from Brno to Bratislava (144km) in 3 hours; a freight train will cover this distance in 4.5 hours. How long will they meet if a passenger train from Brno and a freight train from Bratislava leave simultaneously? How many kilometers does a passenger and freight train travel?

Correct answer:

t =  1.8 h
s1 =  86.4 km
s2 =  57.6 km

Step-by-step explanation:

s=144 km t1=3 h t2=4.5 h  v1=s/t1=144/3=48 km/h v2=s/t2=144/4.5=32 km/h  s1+s2=s  v1 t+v2 t=s 48 t+32 t=144  80t=144  t=80144=1.8  t=59=1.8=1.8 h
s1=v1 t=48 1.8=86.4 km
s2=v2 t=32 1.8=57.6 km



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