Two trains began their trip from the same station at 8:00 a.m. One train traveled North at a rate of 44 mph and the other traveled South at a rate of 46 mph. What time will it be when the trains are 405 miles apart?

Respuesta :

It would be 265 i think

Solution:

we are given that

Two trains began their trip from the same station at 8:00 a.m. One train travelled North at a rate of 44 mph and the other travelled South at a rate of 46 mph.

we have been asked to find

What time will it be when the trains are 405 miles apart?

As we know that

[tex] Distance =Speed*Time [/tex]

Suppose they are 405 miles apart after t hours.

So using this formula we can write

[tex] 44t+46t=405\\
\\
\text{Solve for t we get}\\
\\
90t=405\\
\\
t=\frac{405}{90}= 4.5 Hrs\\ [/tex]

Hence they will be 405 miles apart by 8+4.5=12.5PM.