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

a = 11 : 4

b = 38

c = 1 for every 6