Difference 78294

The distance between Aš and Břeclav is 477 km. At what speeds were the cars driving against each other when the slower one left Aš at 6:30 AM and the second left Břeclav at 8 AM? They meet at 10:30 AM, and the difference in their speeds is 41 km/h. How far will the slower car be after the three-and-a-half-hour drive?

Correct answer:

x =  136.9375 km

Step-by-step explanation:

s=477 km t1=6:30=6 hr 30 min =6+6030=6.5 hr=6.5 t2=8:0=8 hr =8 t3=10:30=10 hr 30 min =10+6030=10.5 hr=10.5 v3=41 km/h  v1 (t3t1)+v2 (t3t1)=s v1+v3=v2 v1 (10.56.5)+v2 (10.56.5)=477 v1+41=v2  4v1+4v2=477 v1v2=41  Row241 Row1Row2 4v1+4v2=477 2v2=160.25  v2=2160.25=80.125 v1=44774v2=44774 80.125=39.125  v1=8313=39.125 v2=8641=80.125  t4=3.5 h  x=t4 v1=3.5 39.125=136.9375 km

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