A cyclist traveled to 11 kilometers per hour faster than an in-line skater. In the time it took to travel 18 kilometers the skater had gone 9 kilometers. Find the speed of the skater

The speed of the skater is 11 km/h.

Step-by-step explanation:

Let v represent the speed of the skater. If we use the formula x = vt, where x is the distance, v is the speed, and t is the time:

9 = vt   (1)

Since the cyclist traveled to 11 kilometers per hour faster than the skater, the speed of the cyclist is v+11 and time is same for both:

18 = (v+11)t   (2)

From the equation 1, t = 9/v

From the equation 2, t = 18/(v+11)

Since the t's are equal:

→ 9/v = 18/(v+11)

→ 9(v+11) = 18v

→ 9v + 99 = 18v

→ 9v = 99

→ v = 11

5.5

step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer