Problema Solution
Two trains leave a station at the same time heading in opposite directions. After 2 hours, the trains are 376 km apart. If the ration of their speeds is 22:25, find the speed of each trains.
Answer provided by our tutors
let
x = the speed of the first train
y = the speed of the second train
after 2 hours they are 376 km apart and they travel in opposite directions
2*x + 2*y = 376
the ration of the speeds is 22:25
x:y = 22:25
by solving the system of equations
x:y = 22:25
2*x + 2*y = 376
we find
x = 88 km/hr
y = 100 km/hr
The speeds of the trains are 88 km/hr and 100 km/hr.