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kvv77 [185]
3 years ago
15

Miguel biked 14 km in the same amount of time that linda hiked 10 km. Miguel's rate was 4 km/h more than linda's. How fast did e

ach travel
Mathematics
1 answer:
matrenka [14]3 years ago
3 0

The first thing we must do is define a variable.

We have then:

x: Linda's speed.

Then, by definition, the time traveled is equal to the distance between the velocity.

We have then:

For Linda:

t = \frac{10}{x}

For Miguel:

t = \frac{14}{x + 4}

Then, since time is the same, then:

\frac{10}{x} = \frac{14}{x + 4}

Clearing Linda's speed we have:

10 (x + 4) = 14x

10x + 40 = 14x

40 = 14x-10x

40 = 4x

x = \frac{40}{4}

x = 10

Then, Miguel's speed is:

x + 4 = 10 + 4 = 14

Answer:

Linda's speed is 10 Km/h

Miguel's speed is 14 Km/h

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