Question

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 each travel

Answer 1

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 = (10)/(x)`

For Miguel:

`t = (14)/(x + 4)`

Then, since time is the same, then:

`(10)/(x) = (14)/(x + 4)`

Clearing Linda's speed we have:

`10 (x + 4) = 14x`

`10x + 40 = 14x`

`40 = 14x-10x`

`40 = 4x`

`x = (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