Question

Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell before he gets home? Assuming he bikes y miles in x minutes, which linear equation represents Darnell’s constant speed?

A. y = 4x
B. y = 1/4x
C. y = 1/2x
D. y = 32x

Answer 1

Hector's speed is faster than Darnell's speed, so Hector will catch up to Darnell before he gets home.

Step-by-step explanation:

To determine whether Hector will catch up to Darnell before he gets home, we need to compare their speeds.

Since Hector catches up to Darnell's house in 24 minutes and Darnell rides the 8 miles home in 32 minutes, we can calculate their speeds using the formula speed = distance / time.

Hector's speed is 8 miles / 24 minutes = 1/3 miles per minute. Darnell's speed is 8 miles / 32 minutes = 1/4 miles per minute.

Therefore, Hector's speed is faster than Darnell's speed, so Hector will catch up to Darnell before he gets home.