Question

HELP

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at
90
miles per hour. The eastbound train travels at
70
miles per hour. How long will it take for the two trains to be
256
miles apart?
Do not do any rounding.

Answer 1

From the given, the separation rate is (W+S) mph.
Let W=90
E=70

Thus the rate is (90+70).
From the given, distance apart is 256.

Use the formula d=rt to find time.
time = distance/rate.

Answer 2

@akosicj

Answer 3

I don't get it

Answer 4

How would you express distance (d) traveled by the west bound train.?? Use the equation that akosicj provided you.

Answer 5

What is the rate (r) of the west bound train?

Answer 6

90mph

Answer 7

Yes, would you then agree that the distance of the west bound train is equal to: d=90t.

Answer 8

yes

Answer 9

Now going further another step, how would you express d for the Eastbound train?

Answer 10

d=70t

Answer 11

Very good. Now the problem is asking when are they 256 miles apart or given a distance of 256 miles. Now that meas the sum of their distance equals 256 mi.
Or in math speak: 90t + 70t = 256 miles. Solve for t and you will have solved this problem.

Answer 12

8/5?

Answer 13

I believe that is correct, it also could be expressed as 1 3/5 or 1.6 etc. The unit is hours os 8/5 hours is good.

Answer 14

so it would be 1.6 hours?

Answer 15

That too.

Answer 16

Thank you

Answer 17

You're welcome and good luck with your studies.