Question

Tirana is on a 120 mile four day bike ride. On the first day she travels 24 miles. She would like to travel equal amounts over the remaining three days. How far will she travel on each of those three days? Write and solve an equation of the form px+q=r

Answer 1

Tirana will travel 32 miles each day for the next three days after covering 24 miles on the first day, to complete her 120-mile bike ride.

Step-by-step explanation:

Tirana is on a 120 mile four-day bike ride. On the first day, she travels 24 miles and wants to travel equal amounts over the remaining three days. To find out how far she will travel on each of those three days, we can set up an equation of the form px + q = r.

Let's denote x as the distance she travels each day for the next three days. The total distance she needs to cover in four days is 120 miles. She already covered 24 miles on the first day, so the remaining distance is 120 miles - 24 miles = 96 miles. Over the next three days, she wants to cover this distance equally, which gives us the equation:

3x = 96

To find the value of x, we divide both sides by 3:

x = 96 / 3

x = 32 miles

Therefore, Tirana will travel 32 miles each day for the next three days to complete the 120-mile bike ride.