Question

Cody left Pranav's house at the same time as Kali. They traveled in opposite directions. Kali traveled at a speed of 75 mph. After one hour they were 105 mi. apart. How fast did Cody travel?

A) 25 mph
C) 30 mph
B) 15 mph
D) 43 mph
Please show steps! (System of elimination)

Answer 1

FINAL ANSWER:
C) 30 mph

Step-by-step explanation:
Let's denote Cody's speed as C mph. Since they traveled in opposite directions, you can add their speeds to find their combined speed, which is the rate at which they are moving away from each other.

After one hour, the distance is the combined speed multiplied by the time:

Distance = Combined speed X Time

In this case, the distance is 105 miles, the combined speed is C + 75 mph, and the time is 1 hour:

105 = C + 75 times 1

Now, you can solve for C

C + 75 = 105

Subtract 75 from both sides:

C = 30

So, Cody traveled at a speed of C = 30 mph. Therefore, the correct answer is: