MATH
Solving Problems Involving System of Linear Equations(Uniformotion problems)

Ex.

A train leaves station x and travel east at 30kph.2 hours later,another train leaves the same station and travels in the same direction on a parallel track at 45 kph.At what point will the faster train overtake the slower train?

d=rt
da=30t
db = 45t2

30t=45t2
t1=2+t
t2=t

da =30(2+t)
db =45(t)
60t =45t
60+30t=45t (transpose 30t to the other side)
60=45t-30t
60/15 =15t/15
4 = t

da =30(2+4)
=30(6)
=180 km

db =45(t)
=45(4)
=180 km