Kyle and his brother joel leave a rest stop at the same time traveling in opposite directions. after traveling for 6 hours, they are 780 miles apart. if kyle drives 10 miles per hour faster than joel, how fast was joel traveling?

Joel is moving with 60 mph speed.

Step-by-step explanation:

If Kyle has a speed of u mph and his brother has the speed of v mph, then as they are moving in the opposite direction, their resultant speed will be (u + v) mph.

Now, after traveling for 6 hours, they are 780 miles apart.

So, ......... (1)

Now, if Kyle drives 10 miles per hour faster than Joel, then

u = v + 10

⇒ u - v = 10  ........ (2)

Now, solving equations (1) and (2) we get,

2u = 130 + 10 = 140

⇒ u = 70 mph

From equation (2) we have, v = u - 10 = 60 mph.

Therefore, Joel is moving with 60 mph speed. (Answer)

There is a horizontal shift.

Step-by-step explanation:

Replacing  x  in a function formula with  x - 8  moves the graph 8 units to the right.

In the attached image, y = sin(x) is light green,  y = sin(x - 8) is dark green, and the arrows show how points on sin(x) get moved 8 units to the right.