Question 918094
the time taken by a person to cover 150km was 2.5 hrs more than the time taken in the return of the journey. if he returned at a speed of 10km per hr, more than the speed of going, what was the speed per hr in each direction in km ?/
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let x=speed in going direction
x+10=return speed
travel time=distance/speed
..
{{{150/x-150/(x+10)=2.5}}}
lcd:x(x+10)
150(x+10)-150x=2.5x(x+10)
150x+1500-150x=2.5x^2+25x
2.5x^2+25x-1500=0
x^2+10-600=0
(x+30)(x-20)=0
x=20
x+10=30
speed in going direction=20 km/hr
return speed=30 km/hr