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
disa [49]
3 years ago
13

Two trains are 400 miles apart, and their speeds differ by 10 mph. They travel toward each other and meet in 4 hours. Find the s

peed of each train.
Mathematics
1 answer:
Katen [24]3 years ago
4 0
So.. the two trains, are 400 miles apart, their speeds differ by 10, so one train is faster than the other.. .let's say   train A is faster than train B, by 10mph

so if train A has a speed rate of "r", then B has a rate of "r - 10"

after train A has beeng running for 4hrs, it has travelled a distance "d"

train B has travelled also for 4hrs, they're both 400 miles apart, and travelling towards each other, so the total distance travelled by both is 400miles

so after 4hours B has travelled the slack from 400 and "d", namely 400 - d

recall your d = rt --> distance = rate * time

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{Train A}&d&r&4\\
\textit{Train B}&400-d&r-10&4
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
\boxed{d}=4r\\
400-d=(r-10)4\\
----------\\
400-\boxed{4r}=(r-10)4
\end{cases}

solve for "r", to find the speed of the faster train A

what's the speed of B? well, B's rate is r - 10
You might be interested in
What is the angle of GHD?
natta225 [31]
The answer is 102


3x+2x+50=180
5x+50=180
5x+50-50=180-50
5x=130
5x/5=130/5
X=26
2(26)+50=102
3 0
3 years ago
The area of a rectangle is 32 in² and its length is 4 inches
oksano4ka [1.4K]
A) The with is 8 inches. You would do 32/4 to get your answer
B) The perimeter is 12. P=l+w so P=8+4 which is 12.(P stands for perimeter  
8 0
3 years ago
Read 2 more answers
48 is 60% of what number? Use the percent equation.<br><br> please help me
VARVARA [1.3K]
I’m pretty sure it’s 80 :)
5 0
3 years ago
Read 2 more answers
Researchers studied symptom distress and palliative care designation among a sample of 710 hospitalized patients. Controlling fo
N76 [4]

Answer:

A. Men had less distress from nausea on average than women but we can not determine if this is a significant difference.

Step-by-step explanation:

Working based on the information given, the mean values of each group with with men having an average score of 1.02 and women have an average of 1.79 this reveals that distressing nausea on average is higher in women than in men . However, to test if there is a significant difference would be challenging as the information given isn't enough to make proceed with the test as the standard deviations of the two groups aren't given and no accompanying sample data is given.

8 0
3 years ago
Divide (67 gallons 2 quarts)÷3
harkovskaia [24]
The answer is e none of the above
7 0
3 years ago
Other questions:
  • The drama club is washing cars for a fundraiser if the rate continues how many cars will they wash in 4 hours
    14·1 answer
  • Sherri rolls a dice, numbered 1 to 6, 64 times. How many times can she expect to roll an odd number?
    5·1 answer
  • 2. Express the following in the form of a ratio and
    13·1 answer
  • Someone please urgently help me with these two short worded questions! Thanks so much
    10·1 answer
  • What is the slope of the line passing through the point 3,5 and -1,7
    13·1 answer
  • Jordan invests 600 in his savings account the interest rate is $6 per year find the simple interest rate earned in 3 years. Then
    11·1 answer
  • Ronna answered 18 of the 20 questions on her second math test correctly. On the first test, she had answered only 15 of 20 quest
    7·1 answer
  • PLEASE HELP ME!! 30 points for right answer!
    8·1 answer
  • Kaitien paid $71.50 for 5 movies tickets. What was the price of each ticket?
    12·1 answer
  • A storage unit is cubical in shape. Each
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!