The tourist

The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. However, after a 4 km walk, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and recover from the horror. To reach the finish in time, he had to add a little (at least the laundry had dried up) on the rest of the route - increase the speed by 0.5 km/h. What was the speed at the beginning?

Correct answer:

v =  4 km/h

Step-by-step explanation:

16=4+s2 16=vt t=t1+t2+20/60 4=v t1 s2=(v+0.5) t2  s2=12 km 16=vt 16=v(t1+t2+20/60) 16=v(4/v+12/(v+0.5)+20/60)  6 v (v+0.5)=v(4 (v+0.5)+12 v+20/60 v (v+0.5)) 16(v+0.5)=4(v+0.5)+12v+20/60v(v+0.5)  16 (v+0.5)=4 (v+0.5)+12 v+20/60 v (v+0.5) 0.333333v20.167v+6=0 0.333333v2+0.167v6=0  a=0.333333;b=0.167;c=6 D=b24ac=0.167240.333333(6)=8.0277697778 D>0  v1,2=2ab±D=0.6666660.17±8.03 v1,2=0.25000025±4.2500021323545 v1=4.0000018823543 v2=4.5000023823548   Factored form of the equation:  0.333333(v4.0000018823543)(v+4.5000023823548)=0 v>0  v=v1=4 t1=4/v=4/4=1 h t2=12/(v+0.5)=12/(4+0.5)=382.6667 h t=t1+t2+20/60=1+2.6667+20/60=4 h  v=4=4 km/h

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