SOLUTION: A local bus finishes its 50-mile route in the same amount of time that an express bus finishes its 75-mile route. The local bus averages 15 mph slower than the express. How long do

Question 295496: A local bus finishes its 50-mile route in the same amount of time that an express bus finishes its 75-mile route. The local bus averages 15 mph slower than the express. How long does it take each bus to finish its route
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the speed of the express bus = x mph
Then, the speed of the local bus = x-15 mph
Given, the local bus finishes its 50-mile route in the same amount of time that an express bus finishes its 75-mile route
So, 50/(x-15) = 75/x
50x = 75(x-15)
50x = 75x-1125
1125=75x-50x
25x = 1125
x = 1125/25
x = 45 mph
x-15 = 45-15 = 30 mph
So, the speed of the express bus = 45 mph
and the speed of the local bus = 30 mph
Time taken to travel the route = 75/45 = 5/3 hours = 1 h 40 min
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