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
AnnyKZ [126]
3 years ago
6

two trains leave stations 210 miles apart at the same time and travel tword each other. one train at 85 miles per hour while the

other travels at 65 miles per hour. how long will it take for the two trains to meet?
Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

recall your d = rt, distance = rate * time.


let's say we have two trains, A and B, A is going at 85 mph and B at 65 mph.


they are 210 miles apart and moving toward each other, at some point they will meet, when that happens, the faster train A has covered say d miles, and the slower B has covered then the slack from 210 and d, namely 210 - d.


When both trains meet, A has covered more miles than B because A is faster, however the time both have been moving, is the same, say t hours.


\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{Train A}&d&85&t\\ \textit{Train B}&210-d&65&t \end{array}\\\\ \dotfill\\\\ \begin{cases} \boxed{d}=85t\\ 210-d=65t\\[-0.5em] \hrulefill\\ 210-\boxed{85t}=65t \end{cases} \\\\\\ 210=150t\implies \cfrac{210}{150}=t\implies \cfrac{7}{5}=t\implies \stackrel{\textit{one hour and 24 minutes}}{1\frac{2}{5}=t}

You might be interested in
What is the median of the following data values 98,102,53,80,22
timurjin [86]

Answer:

80

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
The answer because it is hard
notka56 [123]
Follow me answer= -77
6 0
3 years ago
Read 2 more answers
Write down the negation of each statement
prohojiy [21]

Answer:

1. ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y)

2. ∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

Step-by-step explanation:

If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,

Here, the given statement,

1. ∃y ∈Z such that ∀x ∈Z, R (x + y)

By the above definition,

Negation of this statement is ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y),

2. Similarly,

The negation of statement ∀x ∈Z, ∃y∈Z such that R(x + y),

∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

6 0
3 years ago
Which expression is equivalent to −76x+92?
KATRIN_1 [288]

Answer:

4(−19x+23) is equivalent to the expression

Step-by-step explanation:

5 0
3 years ago
If f(x)=-2x-6, then f^-1(x)
iVinArrow [24]
y=-2x-6. \newline y^{-1}=\frac{1}{2}(-y-6).
7 0
3 years ago
Other questions:
  • What does the small number 2 show in this chemical formula H20?
    6·2 answers
  • What does the line y=k-1/4a represent in y=a(x-h)^2+k, the standard form of equation for a parabola?
    6·2 answers
  • What is the answer to: (-24ab) / (-3) / = divided by?
    15·1 answer
  • What is 301931 rounded to the nearest 100,000
    12·2 answers
  • GEOMETRY HELP PLEASE
    13·1 answer
  • Alex purchased 3 packs of baseball cards that cost $2.50 each. He also purchased 2 packs of card protectors that cost $3.00 each
    10·1 answer
  • 3x+6(x-11)=5x-18<br> Simplify (solve for variable)
    10·1 answer
  • Post Test: Introduction to Geometry and Transformations
    7·1 answer
  • 6(z+9) I need help figuring this out
    13·1 answer
  • How can I make an equation that equals 74 with using the digits/numbers 1 2 3 4 and 0 once and only once in the equation. Every
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!