Out of a distance of 360 km is 240 km is covered by bus and rest by train that it takes 8 hours to complete the journey however 120 kilometres travelled by the bus and the rest by the train that it takes 1 hour less for what is the speed of the bus and the train
Answers
let
speed of train be y and that of bus be x
first equation = 240/x + 120/y = 8 ( time = distance / speed )
second equation = 120/x + 240/y = 7 ( " )
take 1/x as 'u' and 1/y as 'v'
(1) 240u + 120v = 8
120u + 60v = 4 ( dividing by 2 )
(2) 120u + 240v = 7
by elimination 180v=3
v= 1/60
substituting the value to equation 1
120u + 60/60 = 3
120u = 3
u = 1/40
therefore v= 1/60 = 1/y
y = 60
u= 1/40 = 1/x
x = 40
speed of train = 60
speed of bus = 40
Hope your are able to understand the understand
