Algebra 2 (Distance Problem)?
A train leaves Union Station for Central Station, 216 km away, at 9 A.M. One hour later, a train leaves Central Station for Union Station. They meet at noon. If the second train had started at 9 A.M., and the first train at 10:30 A.M., they would still have met at noon. Find the speed of each train.
More Questions From This User See All
Answers & Comments
Verified answer
let the rates of the 2 trains be a km/h & b km/h
d = rt, so
3a + 2b = 216 ......... (i)
1.5a + 3b = 216 ...... (ii)
2*(ii) - (i)
4b = 216
b = 54
substituting in (i), a = 36
-----------------------------
U-->C train: 36 km/h
C-->U train: 54 km/h
------------------------------