The sum of the speeds of two trains is 721.2 miles per hour. If the speed of the first train is 8.8mph faster than that of the second train find the speeds of each

Speed of the first train = 365 mph

Speed of the second train = 356.2 mph

Step-by-step explanation:

Let speed of First train = a

Let speed of the second train = b

The sum of the speeds of two trains is 721.2 miles per hour.

a + b = 721.2 mph

If the speed of the first train is 8.8mph faster than that of the second train

a = b + 8.8 mph

We substitute b + 8.8 mph for a

a + b = 721.2 mph

b + 8.8 mph + b = 721.2 mph

2b + 8.8 mph = 721.2 mph

2b = 721.2 mph - 8.8 mph

2b = 712.4 mph

b = 712.4 mph/2

b = 356.2 mph

a = b + 8.8 mph

a = 356.2 mph + 8.8 mph

a = 365 mph

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.