Answer:
The answer is 86 and 96 mph
Step-by-step explanation:
Givens
Train A
Distance traveled = d
time taken = 5 hours
rate traveled = r
Train B
Distance traveled = 910 - d
time taken = 5 hours
rate = r + 10
Formula
basically d = r * t
Solution
Train A: d/r = 5 or d = 5*r
Train B = (910 - d)/(r + 10) = 5 or
Substitute d = 5*r into Train B
(910 - 5*r)/(r + 10) = 5 Multiply both sides by r + 10
(910 - 5r) = 5 * (r + 10) Remove the brackets on both sides
910 - 5r = 5r + 50 Add 5r to both sides
910 = 5r + 5r + 50
910 = 10r + 50 Subtract 50 from both sides
910 - 50 = 10r Combine the left
860 = 10r
10r = 860 Divide by 10
r = 860/10
r = 86
r + 10 = 96
Check
Train A distance: 5*r = 5 * 86 = 430
Train B distance: 5*r = 5 * 96 = 480
Total = 910
