Question

Two planes just took off from St. Louis, MO. The first plane is traveling 3.5 times as fast as the second plane. After Traveling in the same direction for 9.5 hours they are 2375 miles apart What is the average speed of each plane? (Hint Since they are traveling in the same direction, the distance between them will be the difference of their distances.)​

Answer 1

Speed of first plane is 350 miles per hour

Speed of second plane is 100 miles per hour

Explanation:

Let the speed of the second plane be X

Then the speed of the first plane will be 3.5 X

Distance travelled by first plane is 9.5 *X

Distance travelled by second plane is 9.5 * 3.5 X

Difference of distance between the two plane is

`9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100`miles per hour

Speed of first plane is 3.5 *100 = 350 miles per hour

Speed of second plane is 100 miles per hour