1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Grace [21]
3 years ago
5

Train a And train b leave Central Station at the same time they travel the same speed but in opposite direction with a train a h

eading towards Station a and train b heading towards station b train a Reaches station after 2 1/2 hours train b reaching station be after four hours you station A and b Station are 585 miles apart what is the rate of the trains

Mathematics
2 answers:
kramer3 years ago
6 0

Answer:

Both trains are traveling at 90 miles per hour.

Step-by-step explanation:

We are told that the rate is the same for both trains, and we know that the distance traveled by train a plus the distance traveled by train b equals 585 miles.

We will use Distance=Rate* Time formula to solve this problem.

Train A: D_a=R*2.5 (Using 2.5 instead of 2 and 1/2)

Train B: D_b=R*4

We can set an equation to solve for rate R of trains as:

D_a+D_b=585

2.5R+4R=585

6.5 R=585

R=\frac{585}{6.5}

R=90

Therefore, rate of both train a and train b is 90 miles per hour.



natali 33 [55]3 years ago
5 0

The total distance between the two stations is


585 miles


Let the distance between the Central Station and station b be x



This implies that the distance between the Central Station and station a is


(585 - x) \: miles


speed=\frac{distance}{time}


so, let us write equations in terms of speed for the two trains and solve


 For train a,


speed=\frac{585 - x}{4 } ....eqn \: 1


For train b,


speed=\frac{x}{2  \frac{1}{2} } .....eqn \: 2


We were told that both trains traveled with the same speed



This means that eqn 1 = eqn 2


\frac{585 - x}{4 }=\frac{x}{2.5}


Cross multiplying


2.5(585 - x)=4(x)


Expanding the brackets


1462.5  - 2.5x =4x


Grouping like terms


1462.5= 4x + 2.5x


6.5x = 1462.5 \\ x = \frac{1462.5}{6.5 } =225 \: miles


The speed at which the trains were travelling is



\frac{225}{2.5}= 90 \: miles /hour


Hence the rate of the trains is  


=90\: miles /hour



You might be interested in
Three pith balls supported by insulating threads hang from a support. We know that ball X is positively charged. When ball X is
Tamiku [17]

Answer:

B. z has a negative charge

Step-by-step explanation:

7 0
3 years ago
Help please for today
miskamm [114]

Answer:

<em>y: (0 , 2.5)</em>

<em>x: (3.5 , 0)</em>

Step-by-step explanation:

Y-intercept : (0 , 2.5)

X-intercept: (3.5 , 0)

When looking at the intersection on the y-axis, the x-coordinate will be 0. And when looking at the intersection on the x-axis, the y-coordinate will be 0.

8 0
3 years ago
Richard had his car repaired at a body shop.
Alisiya [41]

Answer:

2 hours

Step-by-step explanation:

308-100=208

208÷52=2

6 0
3 years ago
Two race cars,car x an y,are at the starting point of a two km track at the same time.car x and car y make one lap every 60 s an
tino4ka555 [31]

Answer is attached.

Please check the image.

4 0
3 years ago
What is the distance between the points (0,1) and (8,7)?
andrew11 [14]

Answer:

The answer is 10.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A pail holds 2 3/4 gallons of water. How much is this in cups?
    15·1 answer
  • What do you think could reduce the difference? That's the question...Please help me I've been stuck here for hours!
    9·1 answer
  • Select the correct answer.
    15·1 answer
  • you are going to buy doughnuts for your coworkers. you buy 2 boxes of glazed doughnuts for $3.99 each, 3 boxes of chocolate-cove
    8·2 answers
  • Dan is building a circular swimming pool and wants the circumference to be no more than 95 feet. What is the largest radius poss
    7·1 answer
  • you worked 6 and three fourths hours on Monday Seven and one fourth on Tuesday eight and one fourth on wendsey seven and one fou
    5·1 answer
  • A painter took a digital photo of a 16-inch wide by 20-inch long painting to display on his website. The digital image is 2.5 in
    7·1 answer
  • If R = .06 units <br> D = ?
    15·2 answers
  • What is the slope of the line that
    14·1 answer
  • I need help setting up my problem
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!