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Solution:
Let the speed of passenger train is x kmph
and that of express train is y kmph
Distance = 168 km
Time taken by Express train to travel between akola to bhusawal = 168/y hour
Time taken by passenger train to travel between akola to bhusawal = 168/x hour
According to the question Express train taking 1 hour less
168/y+1 =168/x
168+xy=168y
168x-168y+xy=0 equation........ (1)
according to question
y = x + 14 equation............. (2)
Substitute from eq 2
168x-168y+xy=0
168x-168(x+14) +x(x+14) =0
168x-168x+2352+x^2+14x=0
x^2+14x-2352=0
x2+56x+42x-2352=0
x(x+56)42(x-56) =0
(x+56) (x-42)
negative value can be discarded.
Thus Speed of passenger train 42 kmph
Speed of express train = 42+14= 56 kmph
Hope it helps you.