QuestionTwo trains start 420 miles apart, one at 85 mph and the other at 65 mph. How long until they meet?

Studdy Solution

STEP 1

Assumptions1. The distance between the two stations is420 miles. . The trains are traveling towards each other.
3. One train travels at a speed of85 miles per hour.
4. The other train travels at a speed of65 miles per hour.
5. The trains start at the same time.

STEP 2

Since the trains are traveling towards each other, their speeds are added together. This is because they are covering the distance from both ends.
$Combined\, speed = Speed\, of\, train\,1 + Speed\, of\, train\,2$

STEP 3

Now, plug in the given values for the speeds of the trains to calculate the combined speed.
$Combined\, speed =85\, mph +65\, mph$

STEP 4

Calculate the combined speed of the two trains.
$Combined\, speed =85\, mph +65\, mph =150\, mph$

STEP 5

To find the time it takes for the two trains to meet, we divide the total distance by the combined speed of the two trains.
$Time = Total\, distance / Combined\, speed$

STEP 6

Plug in the values for the total distance and the combined speed to calculate the time.
$Time =420\, miles /150\, mph$

STEP 7

Calculate the time it takes for the two trains to meet.
$Time =420\, miles /150\, mph =2.\, hours$ It will take2. hours for the two trains to meet.

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