Question 148931
An express and local train leave gray's Lake at 3 P.M. and head for Chicago 50 miles away.
The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.
---------------
Local Train DATA:
distance = 50 mi ; rate = x mph ; time = d/r = 50/x hrs.
-----------------------------------------
Express Train DATA:
distance = 50 mi ; rate = 2x mph ; time = d/r = 50/2x hrs.
-----------------------------------------
EQUATION:
local time - express time = 1 hr
50/x - 50/2x = 1
(50/x) - (1/2)(50/x) = 1
(1/2)(50/x) = 1
25/x = 1
x = 25 mph (speed of the local train)
2x = 50 mph (speed of the express train)
========================
Cheers,
Stan H.