8. A train travels 360 km at a uniform speed. If the speed had been 5 km/h more it would
have taken 1 hour less for the same journey. Find the speed of the train
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Answered by
10
Answer:
Step-by-step explanation:
Let s1 be x km/hr
t1=360/x hr
s2=x+5 km/hr
t2=360/(x+5) hr
t1-t2=1
360/x-360/(x+5)=1
360[1/x- 1/(x+5)]=1
360[(x+5-x)/x(x+5)]=1
360*5/(x²+5x)=1
1800=x²+5x
x²+5x-1800=0
x²+45x-40x+1800=0
x(x+45)-40(x+45)=0
(x+45)(x-40)=0
x=40,-45
x=40 km/hr
Answered by
8
Answer:
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