Joseph rode his bicycle for 10 miles. Then he increased his speed to an average of 15 miles per hour for the next h hours. Write an equation for the total distance he rode.

thanks in advance!

in English:

distance is equal to the 10 miles plus the hours times the speed (remember distance = rate x time)

now translate that English sentence into a "math sentence"

5.67

To write an equation for the total distance Joseph rode, we need to consider that he rode his bicycle for 10 miles initially and then increased his speed to an average of 15 miles per hour for the next h hours.

The equation for the additional distance he rode at a speed of 15 miles per hour for h hours can be calculated using the formula:

Distance = Speed × Time

For Joseph, the additional distance he rode is given by:

Distance = 15 miles/hour × h hours = 15h miles

The total distance Joseph rode is the sum of the initial distance he rode (10 miles) and the additional distance he rode at a speed of 15 miles per hour (15h miles).

Therefore, the equation for the total distance Joseph rode is:

Total Distance = 10 miles + 15h miles

To write an equation for the total distance Joseph rode, we need to consider the distance he covered at his initial speed and the distance he covered at his increased speed.

Let's break down the problem:

1. Joseph rode his bicycle for 10 miles initially.
2. After that, he increased his speed to 15 miles per hour for the next h hours.

We can calculate the distance covered at his increased speed as: distance = speed × time.

For the increased speed part, the distance he covered is 15 miles per hour multiplied by h hours, which can be written as 15h.

To find the total distance he rode, we need to combine the initial distance and the distance covered at the increased speed. So the equation for the total distance Joseph rode is:

Total distance = initial distance + distance covered at increased speed
Total distance = 10 + 15h

Therefore, the equation for the total distance Joseph rode is 10 + 15h.