PAHELP NAMAN PO PLEASE
1)A bus covers a distance of 90km at a uniform speed.Had the speed been 15km/hr more it would have taken 30 minutes less for the journey.Find the original speed of the bus.
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PAHELP NAMAN PO PLEASE
1)A bus covers a distance of 90km at a uniform speed.Had the speed been 15km/hr more it would have taken 30 minutes less for the journey.Find the original speed of the bus.
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Answer:
total distance = 90
Increased speed = x+15
90/x - 90/x+15=1/2
90(1/x - 1/x+15)=1/2
90(x+15-x/x^2+15x)=1/2
equation is:
x^2+15x-2700=0
x^2+60x-45x-2700=0
x(x+60)-45(x+60)=0
(x+60)(x-45)=0
x= -60, x=45
reject the negative value = -60
usual speed=45 km/ hr