Doubt

CPT 1312 views 11 replies

a train travels a distance of 300km at a constant speed.if the speed of train is increased by 5 km an hour,the journey would have been taken 2 hours less.the original speed of train is ?

ans: 25km/hour.

Replies (11)

By using formula

300km ÷ x km/h = 300km ÷ (x + 5) km/h + 2h 

300h / x = (300h + 2h[x + 5]) / (x + 5) 

300h(x + 5) = x(300h + 2h[x + 5]) 

300hx + 1500h = 300hx + 2hx2 + 10hx 

2hx2 + 10hx - 1500h = 0 

x2 + 5x - 750 = 0 

(x - 25)(x + 30) = 0 

therefore, x = 25, or -30

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