Posted by **will** on Tuesday, February 10, 2009 at 6:31pm.

Please help me answer this!

At 1pm, two trains traveling towards each other leave from towns 312km apart. One train can travel at most 82 km/h, and the other train at most 74 km/h. What is the earliest possible time for the two trains to meet?

For this problem:

a. define variables

b. write an inequality that can be used to solve the problem

c. solve the inequality

- Math -
**Reiny**, Tuesday, February 10, 2009 at 6:37pm
let the distance travelled by the faster train be x km

let the distance traveled by the slower train be 312-x km

time for faster train = x/82 hours

time for slower train = (312-x)/74 hours

when they meet, wouldn't they have traveled for the time ??

so

x/82 = (312-x)/74

cross-multiply and solve for x

put that back into x/82

- Math -
**Reiny**, Tuesday, February 10, 2009 at 6:38pm
just re-read your post and noticed you are dealing with inequalities.

Make the appropriate changes, the math doesn't change.

- Math -
**KeikoABird**, Saturday, January 26, 2013 at 6:36pm
Reiny, do you know how unhelpful that is???????

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