Two cyclists leave town at the same time on the same road going on the same direction. Cyclists a is going 6 miles per hour faster than cyclist b. After 8 hours, cyclist a has traveled three times the distance as cyclist b. Use the equation 24x=8[x+6] to find how fast cyclist b is traveling.

Question

Mathematics

Deangelo

23 January, 23:30

Two cyclists leave town at the same time on the same road going on the same direction. Cyclists a is going 6 miles per hour faster than cyclist b. After 8 hours, cyclist a has traveled three times the distance as cyclist b. Use the equation 24x=8[x+6] to find how fast cyclist b is traveling.

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Answers (1)

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Kaeden · Answer 1

x=3

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

24x + - 8x = 48 + 8x + - 8x

Combine like terms: 24x + - 8x = 16x

16x = 48 + 8x + - 8x

Combine like terms: 8x + - 8x = 0

16x = 48 + 0

16x = 48

Divide each side by '16'.

x = 3

Simplifying

x = 3