Question

A cyclist rides at a constant speed, traveling 30 miles in 1.5 hours. Write a proportion that gives the number x of miles the cyclist rides in 4 hours.

Answer 1

The number 80 miles of miles the cyclist rides in 4 hours.

Explanation:

We have,

30 miles : 1.5 hours : : x : 4 hours

To find, the value of x = ?

∴ 1.5 × x = 30 × 4

⇒ 1.5x = 120

⇒ x = $\dfrac{120}{1.5}$

⇒ x = $\dfrac{1200}{15}$

⇒ x = 80 miles

∴ The value of x = 80 miles

Thus, the number 80 miles of miles the cyclist rides in 4 hours.