Question
an express train makes a run of 240 km at a certain speed. another train whose speed is 12km/hr less takes an hour longer to cover the same distance. find the speed of the express train in km/hr.
Answers
speed of express ---- x km/h
speed of slow train -- x - 12 km/h
solve for x
240/(x-12) - 240/x = 1
(saying: the difference in their times = 1 hr
and time = distance/rate )
speed of slow train -- x - 12 km/h
solve for x
240/(x-12) - 240/x = 1
(saying: the difference in their times = 1 hr
and time = distance/rate )
v t = 240 so t = (240/v)
(v-12) (t+1) = 240
====================
v t - 12 t + v - 12 = 240
or
v + vt -12 t = 252
substitute
v +240 - 12(240/v) = 252
v^2 - 12 v - 2880 = 0
(v-60)(v+48) = 0
v = -48 simply will not do
so
v = 48 km/hour
(v-12) (t+1) = 240
====================
v t - 12 t + v - 12 = 240
or
v + vt -12 t = 252
substitute
v +240 - 12(240/v) = 252
v^2 - 12 v - 2880 = 0
(v-60)(v+48) = 0
v = -48 simply will not do
so
v = 48 km/hour
60 km/hour
How can it be 48 ,it must be less than the other train
I donot understand
Even now i donot understand
Ya the answer is right u can check it
Ya that's right u all can check it
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