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vodka [1.7K]
3 years ago
10

I need help, I got 80 and 90 but it said I was wrong...​

Mathematics
2 answers:
Anton [14]3 years ago
8 0

Answer:

I think it is 90 and 100

Step-by-step explanation:

I used this equation: x is the speed of the slower train

910 = (5x + 10) + 5x

Grace [21]3 years ago
5 0

Answer:

The answer is 86 and 96 mph

Step-by-step explanation:

Givens

<u>Train A</u>

Distance traveled = d

time taken = 5 hours

rate traveled = r

<u>Train B</u>

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 =<u> 5 * 96 = 480</u>

Total =                                         910

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