Tourist Jirka

Distance between the points A and B is 13.5 km. Jirka went from point A to point B unknown speed and for an unknown period of time. Back to the point A went slower by 3 km/h which means that went 20 minutes more.

How long Jirka took the return journey?

Correct answer:

t2 =  1.4 h

Step-by-step explanation:

13.5=v1t1 13.5=v2t2=(v13)(t1+20/60)  3x2+x4.5=0  a=3;b=1;c=4.5 D=b24ac=1243(4.5)=55 D>0  x1,2=2ab±D=61±55 x1,2=0.16666667±1.2360330811826 x1=1.0693664145159 x2=1.4026997478493   Factored form of the equation:  3(x1.0693664145159)(x+1.4026997478493)=0  t1=x1=1.0693664145159 h t2=t1+20/60=1.4 h v1=13.5/t1=12.62 km/h v2=13.5/t2=9.62 km/h

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