Cyclist Speed and Distance Problems

The video tutorial explains a problem involving two cyclists starting 36 miles apart and meeting after 2 hours. The faster cyclist travels twice as fast as the slower one. The tutorial guides viewers through setting up and solving an equation to find the speed of the faster cyclist, using the formula distance equals rate times time. The solution reveals that the faster cyclist travels at 12 miles per hour.

What is the initial distance between the two cyclists?

• 36 miles

• 48 miles

• 24 miles

• 60 miles

How much faster is one cyclist compared to the other?

• 3 times

• 2.5 times

• 1.5 times

• 2 times

What formula is used to model the cyclists' movement?

• Speed = Distance x Time

• Distance = Speed x Time

• Time = Distance x Speed

• Distance = Time / Speed

If the slower cyclist's speed is R mph, what is the speed of the faster cyclist?

• R mph

• 3R mph

• 1.5R mph

• 2R mph

What is the total distance covered by both cyclists together?

• 24 miles

• 36 miles

• 18 miles

• 48 miles

What equation represents the total distance covered by both cyclists?

• 36 = 2R + 4R

• 36 = R + 2R

• 36 = 3R + 3R

• 36 = 4R + 2R

What is the simplified form of the equation 36 = 2R + 4R?

• 36 = 6R

• 36 = 8R

• 36 = 5R

• 36 = 4R

What is the speed of the slower cyclist?

• 5 mph

• 7 mph

• 6 mph

• 4 mph

What is the speed of the faster cyclist?

• 16 mph

• 10 mph

• 12 mph

• 14 mph

How long did it take for the cyclists to meet?

• 1 hour

• 2 hours

• 3 hours

• 4 hours