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Alli and Beth are driving to meet up. Alli starts at mile marker 3 on the interstate and travels 60 mph. Beth starts at mile marker 503, traveling 65 mph. They will meet in ____ hours. (Solve using substitution)

Sagot :

Answer:4 hours

Step-by-step explanation:

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By finding the quotient between distance and speed, we will see that they will meet after 4 hours.

In how many hours will they meet?

First, we need to find the distance between them.

  • Ali starts on mile marker 3.
  • Beth starts at mile marker 503.

So the distance between them is:

D = 503mi - 3 mi = 500 mi

And we know that Ali travels with a speed of 60mph, while Beth travels with a speed of 65 mph.

Then the combined speed is:

S = 60mph + 65 mph = 125 mph

Remember the relation:

Speed*time = distance

Here we know the speed and the distance, so we can get the time:

T = D/S = 500 mi/ 125 mph = 4h

They will meet after 4 hours.

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