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Paul [167]
3 years ago
15

becky Anderson can ride her bike to the university library in 20 minutes the trip home which is uphill takes 30 minutes if a rat

e is 8 mph faster on her trip there then her trip home how far does she live from the library
Mathematics
1 answer:
boyakko [2]3 years ago
7 0

Answer: 8\ miles

Step-by-step explanation:

We know that the formula for the distance is:

d=V*t

Where "V" is speed and "t" is time.

Let be:

t_1: time of her trip from her home to the library.

t_2: time of her trip from the library to her home.

V_1: speed  on her trip from her home to the library.

V_2: speed on her trip from the library to her home

 

We can identify that:

t_1=20\ min=\frac{(20\ min)(1\ h)}{60\ min}=\frac{1}{3}\ h\\\\V_1=V_2+8\ mph\\\\t_2=30\ min=\frac{(30\ min)(1\ h)}{60\ min}=\frac{1}{2}\ h

Since the distance she rode on the both trips are equal:

V_1*t_1=V_2*t_2\\\\(V_2+8)(\frac{1}{3})=(V_2)(\frac{1}{2})

Solving for V_2, we get:

2(V_2+8)(\frac{1}{3})=3(V_2)\\\\2V_2+16=3V_2\\\\V_2=16\ mph

Therefore, the distance for her home to the library is:

d=(16\ mph)(\frac{1}{2}\ h)\\\\d=8\ miles

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alexgriva [62]

Answer:

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Step-by-step explanation:

We need to determine the equation of the line for the number of lilac bushes versus area

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3 years ago
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