Town A and B are 420 miles apart. If a train leaves for B at 60 mph. How many hours will it ta to meet another train going from B to A at 45mph?

1 answer

To find out how long it will take for the two trains to meet, we can start by determining their combined speed.

The speed of the train from A to B is 60 mph, and the speed of the train from B to A is 45 mph. The combined speed of the two trains is:

\[ 60 \text{ mph} + 45 \text{ mph} = 105 \text{ mph} \]

Next, we know the distance between the two towns is 420 miles. To find the time it takes for the two trains to meet, we can use the formula:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

Substituting the values, we get:

\[ \text{Time} = \frac{420 \text{ miles}}{105 \text{ mph}} = 4 \text{ hours} \]

Therefore, it will take 4 hours for the two trains to meet.