Problema Solution
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 provided by our tutors
let
t1 = the time Lilly spends traveling to work
v1 = 35 mph the average speed of the train to work
t2 = the time Lilly spends traveling back from work
v2 = 45 mph the average speed of the train from work
n = the number of miles from Lilly’s home to work
the total trip takes 2.5 hours
t1 + t2 = 2.5
since the average speed = distance/time => time = distance/average speed
t1 = n/v1 = n/35
t2 = n/v2 = n/45
if we plug t1 and t2 in t1 + t2 = 2.5 we get
n/35 + n/45 = 2.5 and we use this equation to find n
by solving the equation we find
n = 1575/32
n = 49.22 miles
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Lilly’s home is 49.22 miles from her work.