Science and medicine. A bicyclist rode into the country for 5 h. In returning, her

speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
x for 5h
x+ 5 miles for 4 hours
5x = 4 (x+ 5)
5x = 4x + 20
20 miles there
20 miles back
-x = -20

You should use better English for you defining statement.
e.g.
Let her speed going into the country be x mph, let her speed on the return trip be (x+5) mph

In your solution you should have one more line
x=20, (why do you even have that -20=-x ???)

and finish the whole thing off with a proper English sentence conclusion.

Apologies for the confusion and errors in the previous response. Let's approach the problem again with clearer explanations and correct calculations.

Let's assume the bicyclist's speed going into the country is x mph. According to the given information, her speed on the return trip is 5 mph faster than her speed going into the country, which makes it (x + 5) mph.

We know that the time taken going into the country is 5 hours, and the time taken on the return trip is 4 hours.

To find the speed of the bicyclist, we can set up the following equation based on the distance, speed, and time formula: Distance = Speed * Time.

For the trip going into the country:
Distance = x mph * 5 hours = 5x miles.

For the return trip:
Distance = (x + 5) mph * 4 hours = 4(x+5) miles.

According to the problem, the distance going into the country is the same as the distance on the return trip. Therefore, we can set up the equation:

5x = 4(x + 5).

Now, we can solve for x:

5x = 4x + 20.

By subtracting 4x from both sides, we get:

x = 20.

So, the speed going into the country is 20 mph.

To find the speed on the return trip, we just need to add 5 mph to the speed going into the country:

x + 5 = 20 + 5 = 25 mph.

Therefore, the bicyclist's speed going into the country is 20 mph, and her speed on the return trip is 25 mph.

I apologize for any confusion caused in my previous response. I hope this clarification helps, and if you have any further questions, please feel free to ask!