3. A train can In what time cover will 560 km in 7hours it cover 1600 km ?
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A train covers a distance of 600 km at x km/hr. had the speed been (x+20) km/hr the time taken to cover the same distance would have been reduced by 5 hours. Write down an equation in x and solve it to evaluate 'x'.
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according to the question
x
600
−
x+20
600
=5
x
2
+20x
600x+12000−600x
=5
600x+12000−600x=5x
2
+100x
5x
2
+100x−12000=0
x
2
+20x−2400=0
x
2
+60x−40x−2400=0
x(x+60)−40(x+60)=0
(x+60)(x−40)=0
x=40km/hr since speed cannot be negative
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