what is the rate of each jet?

Question

Two jets leave an air base at the same time and travel in opposite directions. One jet travels
66

/mih
slower than the other. If the two jets are
10,696mi
apart after
7
hours

Answer 1

Hi Haley

 

Let the Speed of one jet be x m/hr and the other would be (x-66) m/hr since it is slower.

 

Now when they start at the same time and move in opposite direction, the effective speed will be the sum of the two speeds. So the effective speed is (x + (x-66)) m/hr. 

 

So in one hr they are apart by x+x-66 = 2x-66 miles.

So in 7 hours they will be aprt by 7*(2x-66) miles 

 

So our equation is 7*(2x-66) = 10696

Solving for x we get , x= 797

 

So the speeds are 797m/hr and 731m/hr