# A person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took 3 hours less the time. How do you find the speed going?

##### 2 Answers

Velocity going is 20 miles per hour

#### Explanation:

Let distance be

Let velocity going be

Let velocity returning be

Let time going be

Let time returning be

Known:

Given:

Objective: determine

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Using equation (1)

But

Equate

But

But in line with equation (1)

Let's call the speed on the way in

The formula for this is

#### Explanation:

Then the speed on the way back

The time it took the first time is:

Riding back:

We know that