# Call of Duty

Game Call of Duty in CTF (Capture the Flag) opposes the British and the Germans, whose bases are 15 km apart. A German soldier stole the British flag and hid it in a secret place between the bases. If the British soldiers set out at a speed of 14 km/h and at the same time, if German troops were set at a speed of 18 km/h, both camps would collide in a secret place. How many kilometers from the German base does a German soldier with a flag hide?

x =  8.4375 km

## Step-by-step explanation:

14t + 18t = 15
x = 18t

14·t + 18·t = 15
x = 18·t

32t = 15
18t-x = 0

Row 2 - 18/32 · Row 1 → Row 2
32t = 15
-x = -8.44

x = -8.4375/-1 = 8.4375
t = 15/32 = 0.46875

t = 15/32 = 0.46875
x = 135/16 = 8.4375

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