Mathematics, 17.02.2020 23:10 20jhuffman

* Two cars started to move from C (118miles) and from D(256 miles), towards one another. The car that starts at point C moves twice as fast as the car that starts at point D. How far from Boston will these two cars meet?

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Answer from: amirahpeters

They meet at 92 miles from C or 46 miles from D.

Step-by-step explanation:

Constant Speed Motion

An object is said to have constant speed if it travels the same distance at the same time. The ratio between the distance x and the time t is the speed and is given by

$\displaystyle v=\frac{x}{t}$

Solving for x

x=v.t

The car starting from C has double speed as the car starting from D. this means

v_c=2v_d

When both cars meet, they travel these distances

x_c=v_c.t

x_d=v_d.t

The sum of both distances is x = 256 - 118 = 138 miles.

x_c+x_d=138

Or, equivalently

v_c.t+v_d.t=138

Using the relations of the speeds:

$2v_d.t+v_d.t=138\\3v_d.t=138$

Solving for t

$\displaystyle t=\frac{138}{3v_d}=\frac{46}{v_d}$

The distance traveled by the car from c is

$\displaystyle x_c=2.v_d\frac{46}{v_d}=92\ miles$

The distance traveled by the car from d is

$\displaystyle x_d=v_d\frac{46}{v_d}=46\ miles$

There is no reference of where Boston is located, thus we can only refer the distances respect to C or D, as shown above

Answer from: Quest

use an equation of ratios to determine the amount of gas needed to fill the tank.

0.2 0.8

288.75 x

231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal $3

* = $3465 (answer)

1 1 gal

hope this you

Answer from: Quest

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

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* Two cars started to move from C (118miles) and from D(256 miles), towards one another. The car tha...

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