A tourist traveled 10 km away from the city by bus, and then continued his journey by foot in the same direction at the speed of 5 km/h. At which distance y was he from the city in x hours of walking?

distance = rate * time

y = 10 + 5x

To find out the distance the tourist was from the city after x hours of walking, we can use the formula for distance: Distance = Speed × Time.

Given that the tourist traveled 10 km away from the city by bus, the initial distance from the city is 10 km. After that, the tourist continued walking in the same direction at a speed of 5 km/h.

Let's assume the time taken for walking is x hours. Therefore, the distance covered by walking would be Distance_walked = Speed_walked × Time_walked.

In this case, Speed_walked = 5 km/h, and Time_walked = x hours. Substituting these values, we get Distance_walked = 5x km.

Since the tourist initially traveled 10 km by bus, the total distance from the city after x hours of walking would be 10 km + Distance_walked.

Substituting the value of Distance_walked, we get Total distance = 10 km + 5x km.

Therefore, the tourist would be y km away from the city in x hours of walking, where y = 10 + 5x km.

To find the distance the tourist was from the city after x hours of walking, we need to determine how far he had already traveled by bus before starting the walk.

Given that the tourist traveled 10 km away from the city by bus, we can say that initially, his distance from the city was 10 km.

Now, let's calculate the distance the tourist traveled by foot after x hours. We know that the speed of his walking is 5 km/h.

Distance = Speed * Time

Therefore, the distance he traveled by foot is 5 km/h * x hours, which can be simplified as 5x km.

Since the tourist traveled 10 km by bus before starting the walk, we can say that his total distance from the city after x hours of walking is:

Distance from city = 10 km + 5x km

So, the tourist was y km away from the city after x hours of walking, where y = 10 km + 5x km.