A ship travels a distance of 700 km. On the return trip it averages 10km/hr faster and 8 hours less, tp travel the 700km back. Determine how long the original part of the trip took in hours

The total duration of the trip is 48 hours.

Step-by-step explanation:

Let suppose that ship travels at constant speed during its travel. Each stage is represented by the following kinematic equation:

Where:

- Travelled distance, measured in kilometers.

- Time, measured in hours.

- Speed, measured in kilometers per hour.

Now, each stage is represented by the following expressions:

Outbound trip

Return trip

By eliminating and simplifying the resulting expression algebraically:

This equation can be solved by means of the Quadratic Formula, whose roots are presented below:

and

Only the first roots offers a physically resonable solution. Then, total duration of the trip is:

The total duration of the trip is 48 hours.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.