Question

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work?

Answer 1

Answer: $2.5=\frac{n}{35}+\frac{n}{45}$

Step-by-step explanation:

1. To find the equation asked, you must add the times:

$t_{total}=t_1+t_2$

Where $t_1$ is the time takes Lilly in her path to work and $t_2$  is the time takes Lilly in her path to home.

2. You must use the following formula of speed and solve for the time

$V=\frac{n}{t}$

Where n is the distance, V is the speed and t is the time.

3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:

$35=\frac{n}{t_1}\\t_1=\frac{n}{35}$

4. And her train ride follows the same path at 45 miles per hour:

 $45=\frac{n}{t_2}\\t_2=\frac{n}{45}$

5. Then, you obtain the following equation:

$2.5=\frac{n}{35}+\frac{n}{45}$

Answer 2

Answer: - n/35+n/45=2.5 or just 49.22

Step-by-step explanation:

use the formulas t total=t1+t2 and V=n/t

n=distance, V=speed, and t=time

35=n/t1, and t1=n/35

her train ride follows the same path at 45mph

45=n/t2, and t2=n/45, so then you get - n/35+n/45=2.5

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤