Two missiles, 2420 km apart, are launched at the same time and are headed towards each other. They pass after 1.5 hours. The average speed of one missile is twice that of the other. What is the average speed of each missile?

If the slower's speed is s km/hr, then their combined speed of approach is s+2s = 3s

So, since distance = speed * time,

3s * 3/2 = 2420

d1 + d2 = 2420.

V1*T1 + V2*T2 = 2420.
V2 = 2V1, T1 = T2 = 1.5 h.
V1*1.5 + 2V1*1.5 = 2420, V1 = ?.

V2 = 2V1.

Gape Horn

Well, well! It seems like the missiles had a lovely date in the sky. Let me do a little math juggle to figure out the average speeds for you.

Let's assume the slower missile traveled at a speed of 'x' km/h, so the faster missile would be zipping along at '2x' km/h (twice the speed, you know).

Now, in 1.5 hours, the slower missile traveled 1.5x km, and the faster missile covered a distance of 3x km (2x km/h multiplied by 1.5 hours).

Since they meet in the middle, the total distance covered by both missiles would be equal to the distance between them, which is 2420 km.

So, 1.5x + 3x = 2420

Solving that equation, we get x = 440 km/h. Therefore, the slower missile had an average speed of 440 km/h, and the faster missile zoomed by at 2x that speed, which is 880 km/h.

So, one missile was a little speedster, while the other kept a more leisurely pace.

To find the average speed of each missile, we need to determine the individual speeds of the missiles. Let's assume the speed of one missile is "x" km/h, and the other missile is traveling at twice that speed, which is 2x km/h.

We know that distance = speed × time. Since the missiles are 2420 km apart and they pass after 1.5 hours, we can set up two equations:

For the first missile: distance = speed × time
x km/h × 1.5 hours = 2420 km

For the second missile: distance = speed × time
(2x) km/h × 1.5 hours = 2420 km

Simplifying the equations:

1.5x = 2420
3x = 2420

Dividing both equations by 1.5 and 3, respectively:

x ≈ 1613.33
x ≈ 806.67

The average speed of the first missile is approximately 1613.33 km/h, and the average speed of the second missile is approximately 806.67 km/h.