The time it will take a vehicle that travels at at 3.2 miles per hour to travel across the swamp, from point Z to point Y is; t = 18 minutes
We can see two main triangles from the image which are;
ΔVWX and ΔYZX
The two triangles are similar and using ratio of similar triangles, we have;
VW/WX = YZ/ZX
Plugging in the relevant values gives;
10/6 = YZ/3
Cross multiply to get;
YZ = 3 * 10/6
YZ = 5 miles
Since speed is given as 3.2 miles per hour and we know that formula for time is;
time = distance * speed
Then; time = 5 * 3.2
time = 16 hours
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