Question

Two trains leave stations one 70mph the other 90mph how long till the two trins are 192 miles apart?

Answer 1

I'm assuming the trains are going opposite directions (eg: one goes east, the other goes west). Also, I'm assuming they leave at the same time.

One train travels 70x miles, where x is some positive real number.

x = number of hours

The other train travels 90x miles in the other direction. The distance between them is 70x+90x = 160x miles. Draw out a number line to see why we add the distances.

Set this total equal to the 192 value stated so we can isolate x.

160x = 192

x = 192/160

x = 1.2

They will be 192 miles apart at the 1.2 hour marker.

Side notes:

• 1.2 hrs = 1.2*60 = 72 min
• 72 min = 60 min + 12 min = 1 hr + 12 min

Answer 2

To find out how long it will take for the two trains to be 192 miles apart, we can use the formula: time = distance / relative speed. The relative speed is the sum of their individual speeds, since they are moving away from each other. Using this formula, we calculate that it will take 1.2 hours, or 1 hour and 12 minutes, for the two trains to be 192 miles apart.

Step-by-step explanation:

To find out how long it will take for the two trains to be 192 miles apart, we can use the formula: time = distance / relative speed.

First, we need to calculate the relative speed of the two trains.

The relative speed is the sum of their individual speeds, since they are moving away from each other. In this case, the relative speed is 70 mph + 90 mph = 160 mph.

Using the formula, we can now calculate the time it takes for the two trains to be 192 miles apart: time = 192 miles / 160 mph = 1.2 hours.

Therefore, it will take 1.2 hours, or 1 hour and 12 minutes, for the two trains to be 192 miles apart.