Ans.: iv)If first train takes 3 hrs to cover the distance, then find the speed of second train a) 80 km/hr b) 100 km/hr c) 50 km/hr d) 30 km/hr if. speed of first train is x/300hr and speed of 2nd train is 300/x-150hr
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x(x+5)
300x+1500−300x
=2
⇒1500=2x
2
+10x
⇒2x
2
+10x−1500=0
⇒x
2
+5x−750=0
⇒(x+30)(x−25)=0
⇒x+30=0 or x−25=0
x=−30(rejected) ∴x=25
∴ usual speed of the train=25km\hr.
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