A truck convers a distance of 150 km at a certain average speed and then convers another 200 km at an average speed which is 20 km per hour more than the first speed speed.If the truck covers the total distance in 5 hours,find the first speed of the truck.
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Answer:
time1 =200/x+20
time 2=150/x
total time = t1+t2
(200/x+20)+(150/x)=5
200x+150x+3000=5x^2+100x
350x+3000=5x^2+100x
5x^2-250x-3000=0
x^2-50x-600=0
x^2-60x+10x-600=0
x(x-60)+10(x-60)=0
x=60kmph
as velocity can't be negative so -10 is not possible....
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