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?
Answers
Answer:
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Answer: 2.5=\frac{n}{35}+\frac{n}{45}2.5=35n+45n
Step-by-step explanation:
1. To find the equation asked, you must add the times:
t_{total}=t_1+t_2ttotal=t1+t2
Where t_1t1 is the time takes Lilly in her path to work and t_2t2 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}V=tn
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:
\begin{gathered}35=\frac{n}{t_1}\\t_1=\frac{n}{35}\end{gathered}35=t1nt1=35n
4. And her train ride follows the same path at 45 miles per hour:
\begin{gathered}45=\frac{n}{t_2}\\t_2=\frac{n}{45}\end{gathered}45=t2nt2=45n
5. Then, you obtain the following equation:
2.5=\frac{n}{35}+\frac{n}{45}2.5=35n+45n
hope this helps
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