Budějovice 11601

At midnight, a 40km/h truck will leave České Budějovice for Turnov. At 1.5 hours after midnight, a 70 km/h car drove against him. The distance between České Budějovice and Trutnov is 223 km. At what time and how far from Trutnov will the two cars meet?

Result

T = 2:59 hh:mm Wrong answer
s2 =  103.7273 km

Step-by-step explanation:

s1​+s2​=223 s1​=40⋅ t s2​=70⋅ (t−1.5)  s1​+s2​=223 s1​−40t=0 s2​−70t=−105  Row2−Row1→Row2 s1​+s2​=223 −s2​−40t=−223 s2​−70t=−105  Row3+Row2→Row3 s1​+s2​=223 −s2​−40t=−223 −110t=−328  t=−110−328​=2.98181818 s2​=−1−223+40t​=−1−223+40⋅ 2.98181818​=103.72727273 s1​=223−s2​=223−103.72727273=119.27272727  s1​=111312​≐119.272727 s2​=111141​≐103.727273 t=55164​≐2.981818  T=t=2.9818=2.98182=2:59 hh:mm
s2​=103.7273=103.7273 km

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