Answer:
1.72 hours on the train.
Step-by-step explanation:
The distance between the two cities is 220 miles. Therefore the sum of the bus and train distances is 220 miles. Let x be the distance by train and y the distance by bus: x + y = 220
Bus speed was 30 mph and train speed was 85 mph. The whole trip was 5 1/2 hours, that is 5.5 hours.
We have to, the bus distance would be equal to:
y = 260 - x
speed equals distance over time, like so:
v = d / t; if we rearrange for time
t = d / v, we can do another equality, since we know that the total time is 5.5 hours
5.5 = x / 85 + (260 - x) / 30; reorganizing we have left that:
(30 * x + 85 * 260 - 85x) / 85 * 30 = 5.5
Solving:
-55 * = 2550 * 5.5 - 22100
x = 146.81
146.81 miles would be the train distance.
To find the time, we divide by the speed of the train which is 85 mph:
146.81 / 85 = 1.72 h
We buy, with the equation the time:
146.81 / 85 + (260 - 146.81) / 30 = 5.5 hours
Therefore, Wendy takes 1.72 hours on the train.
