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A boat travels at a rate of 18 kilometers per hour from its port. A second boat is 34 kilometers behind the
first boat when it starts traveling in the same direction at a rate of 22 kilometers per hour to the same port.
Let d represent the distance the boats are from the port in kilometers and t represent the amount of time
in hours. The system of equations ⎧
⎨
⎩
d = 18t + 34 d = 22t
can be used to represent this situation. How many
hours will it take for the second boat to catch up to the first boat? How far will the boats be from their
port? Use the substitution method to solve this real-world application.

Sagot :

The number of hours taken should be 8.5 hours

And, the distance should be 187 km.

Important information:

  • The equation is d = 18t + 34 and d = 22t.

The calculation is as follows:

d = 18t + 34

d = 22t

Put the d value in the above equation

22t = 18t + 34

22t - 18t = 34

4t = 34

t = 8.5 hours

Now the distance is

= 22(8.5)

= 187 km

Find out more information about the  Distance here :brainly.com/question/21470320?referrer=searchResults

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