Question

Cruz is training to compete in a triathlon. He left his house at 6 : 00 and ran until 7 : 30 . Then he rode his bike until 9 : 45 . He covered a total distance of 51 miles. His speed when biking was 1.6 times his speed when running. Find Cruz's biking and running speeds

Answer 1

The correct answer is Cruz's running speed is 10 miles per hour and his biking speed is 16 miles per hour.

Explanation:

Let the speed of Cruz when running is s miles per hour and speed of cruz biking is 1.6s miles per hour.

Cruz ran for 90 minutes and rode is bike for 135 minutes.

Total distance covered by Cruz is
`(90)/(60)` × s + 1.6s ×
`(135)/(60)`

This distance is given to be 51 miles.

⇒
`(90)/(60)` × s + 1.6s ×
`(135)/(60)` = 51

⇒ 90s + 216s = 3060

⇒ 306s = 3060

⇒ s = 10

Cruz's running speed is 10 miles per hour and his biking speed is 16 miles per hour.