Problema Solution
a train travels 160 km in the same time that a plane covers 400 km. if the speed of the plan is 40 km per hr less than 3 times the speed of the train find both speeds
Answer provided by our tutors
et
t = the time of the travel
d1 = 160 km the distance the train travels
d2 = 400 km the distance the plane covers
v1 = the speed of the train
v2 = the speed of the plane
the speed of the plane is 40 km per hour less than 3 times the speed of the train
v2 = 3*v1 - 40
since speed = distance/time => time = distance/speed
d1/v1 = d2/v2
160/v1 = 400/v2
400v1 = 160v2
400v1 - 160v2 = 0 divide both sides by 80
5v1 - 2v2 = 0
by solving the system of equations
v2 = 3*v1 - 40
5v1 - 2v2 = 0
click here to see the step by step solution of the system of equations
v1 = 80 km/h
v2 = 200 km/h
the speed of the train is 80 km/h.
the speed of the plane is 200 km/h.