"A car is traveling at r speed. A plane is traveling at 5r speed. When will they both reach 200 miles?"

this is funny i came here to ask question but yet i'm answering them. the formula for this is S=D/T or Speed = Distance divided by time, but since you are looking for the time you need to get T by itself. To do so you have to multiply both sides by T then divide S from both sides. This will give you the equation T=D/S. Then just plug and chug as i like to say. Plug r into S of the equation then write another equation for the plane and plug 5r for S in that equation. The answers will be 200mi/r for the car and 40mi/r for the plane.

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To determine when both the car and the plane will reach 200 miles, we need to consider their respective speeds.

Let's assume that t represents the time it takes for both the car and the plane to reach 200 miles.

The distance covered by the car is given by the formula: distance = speed * time. In this case, the distance covered by the car is 200 miles, and its speed is r. Therefore, the distance covered by the car can be expressed as 200 = r * t.

Similarly, the distance covered by the plane is given by the formula: distance = speed * time. In this case, the distance covered by the plane is also 200 miles, and its speed is 5r. Therefore, the distance covered by the plane can be expressed as 200 = 5r * t.

We now have two equations:

1. 200 = r * t
2. 200 = 5r * t

To solve for t, we can use either equation. Let's use the first equation:

r * t = 200

Divide both sides of the equation by r:

t = 200 / r

Now, we can substitute this value of t into the second equation:

200 = 5r * (200 / r)

Simplify the equation:

200 = 1000

This equation is not true, which means both the car and the plane will never reach 200 miles simultaneously.

Therefore, there is no solution to this problem.

Please note that in real life, this situation may have other factors to consider, such as acceleration and deceleration, but based on the given information, it is not possible for both the car and the plane to reach 200 miles at the same time.