Question

A train travels 480 km at a uniform speed if the speed had been 10 kilometre per hour more it would have taken 4 hours less for the same journey find the speed of a train​

Answer 1

40km/hour

Step-by-step explanation:

Let the speed of train be xkm/hours

Then,

Time taken to cover the distance of 360km=360/x hour

If the speed of train increased by 5km/hour.

Time taken to cover the same distance =(360/x–360/x+5=1

360(×+5)–360×/×(×+5)=1

360x+1800–360×+/ײ+5×

x²+5×–1800=0

x²+45×–49×–1800=0

×(×45)–49(×+45)=0

(×+45)(×–40)=0

(×+45)(×–40=0

(×+45)(×–40)=0

x: –5 or x = 40

THUS,ANSWER IS 4 km/hour

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