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BartSMP [9]
3 years ago
12

Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way

back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?
Mathematics
1 answer:
Trava [24]3 years ago
7 0

Answer:

6.4 minutes

Step-by-step explanation:

The question gave us the following details:

Average speed = 60mph

Time spent on trip = 8 hours

Average speed of express train on way back = 75mph

T = distance/speed

D = distance

V = speed

T = d/v

d = v(t)

d = 60 x 8

= 480

Such that

480/75

= 6.4 hours.

That is 6 hours 40 minutes is the length of time it would take on the trip home.

Thank you!

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kow [346]

Answer:

The number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.

Step-by-step explanation:

Let

x: number of days

y: amount of potatoes

We can express the amount of potatoes in each warehouse using linear equations:

Warehouse #1: y_1 = 90x+210

Warehouse #2: y_2 = 120x+180

We need to find the value of x when 1.2*y_{1} =y_{2}

Substituting the expressions for y1 and y2 in 1.2*y_{1} =y_{2}:

1.2*(90x+210) =120x+180

Applying distributive law:

108x+252 =120x+180

Solving the equation by subtracting 108x and 180 on both sides:

108x+252-108x-180 =120x+180-108x-180

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72 =12x

Now we divide by 12 on both sides:

\frac{72}{12} =\frac{12x}{12}\\6=x\\x=6

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3 years ago
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Answer:

Hello,

why not 700 ?

Step-by-step explanation:

n=\overline{abcd}\\a\in \{3,4,5,6,7,8,9\}: 7\ possibilities\\b\in\{4,8\} :2\ possibilities\ :0 \ in\ USA\  is\ not\ a\ multiple\ of\ 4\\c \in\{0,1,2,3,4,5,6,7,8,9}: 10\ possibilities\\d \in \{0,2,4,6,8\}:5\ possibilities\\

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