Problema Solution
Suppose a train traveling at a constant speed goes 120 miles. If the train had gone eleven miles per hour faster, it could have gone 200 miles in the same amount of time. What is the train's speed in miles per hour?
Answer provided by our tutors
let
v = the trains speed in mph
v + 11 = the trains speed when it travels 11 mph faster
d1 = 120 miles
d2 = 200 miles
since speed = distance/time => time = distance/speed
d1/v = d2/(v + 11)
120/v = 200/(v + 11)
by solving we find
v = 16.5 mph
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the trains speed is 16.5 miles per hour.