# Math

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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 -

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 -

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

• Math -

Reiny, do you know how unhelpful that is???????

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