Bob and Bobek

Bobek runs from the hat at an average speed of 12 km/h at 10:20. At what time must Bob run out at a speed of 18 km/h to catch him 9 kilometers from the hat?

Result

h = 10:35 Wrong answer

Step-by-step explanation:


12(t-(10+20/60))=9
18(t-h)=9

12·(t-(10+20/60))=9
18·(t-h)=9

720t = 7980
18h-18t = -9

Pivot: Row 1 ↔ Row 2
18h-18t = -9
720t = 7980


t = 7980/720 = 11.08333333
h = -9+18t/18 = -9+18 · 11.08333333/18 = 10.58333333

h = 127/12 ≈ 10.583333
t = 133/12 ≈ 11.083333

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