Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.

In 4.5 hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.

Distance = speed × time

Distance travelled by the slower train in 4.5 hours is

4.5 × x = 4.5x

Distance travelled by the faster train in 4.5 hours is

4.5(x + 10) = 4.5x + 45

Since the total distance covered is 459 miles, therefore,

4.5x + 4.5x + 45 = 459

9x = 459 - 45 = 414

x = 414/9

x = 46 mph

Speed of the faster train is

46 + 10 = 56 mph

3 0

3 years ago

Allen is showing us work in simplifying – 8.3+9.2-4.4+3.7 point identify and explain any errors in his work in or in his reasoni

vladimir1956 [14]

Answer: -8.3 + 9.2 - 4.4 + 3.7

= -8.3 + 9.2 + (-4.4) + 3.7 {Additive inverse}

= -8.3 + (-4.4) + 9.2 + 3.7 {Commutative Property}

= [ -8.3 + (-4.4] + [ 9.2 + 3.7] {Associative property}

= - 12.7 + 12.9

= 0.2

Step-by-step explanation: I copied it from someone hope it helps though! :D

5 0

3 years ago