If Sandra Bullock's speed is incrcased by 2.5 km/hr, then she takes 1/2 hour less to cover 1.5 km. Find her original speed.
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Answer:
1.76 km/h
Step-by-step explanation:
speed= x
Comparing time in both cases:
- 1.5/x-1/2=1.5/(x+2.5)
- (3-x)/2x=1.5/(x+2.5)
- (3-x)(x+2.5)=3x
- 3x+7.5-x²-2.5x-3x=0
- -x²-2.5x+7.5=0
- x²+2.5x-7.5=0
Solving it we get:
- x =(-5+√145)/4= 1.76
Answer: 1.76 km/h
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