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
enot [183]
3 years ago
6

A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. how soon did the second train overta

ke the first?if 50x represents the distance the slower train travels, then the faster train travels55(x - 0.5)55(x + 0.5)50 + 30x
Mathematics
2 answers:
Finger [1]3 years ago
8 0
<span>1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles

2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles


Equation:
distance = distance 
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
Hope this helps!
</span>
spin [16.1K]3 years ago
4 0
Disatnce=speed times time

x is time in hours
the other train will travel with half an hour less
so the faster train is 55(x-0.5)
when will they travel the same distance?

50x=55(x-0.5)
50x=55x-27.5
minus 50x both sides
0=5x-27.5
add 27.5 both sides
27.5=5x
divide both sides by 5
5.5=x

after 5.5 hours or 5 hours and 30 mins

and the faster train is 55(x-0.5)
You might be interested in
He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
Scrat [10]
Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees

Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides

Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°

An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees

Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120

This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees

Hope this helps :)
6 0
3 years ago
School starts in 45 minutes and you live 17 miles from school. What average speed (in miles per hour) do you need to travel in o
Arada [10]
It would be 22.67mph
3 0
3 years ago
Evaluate (solve) the power: 2^9
german

Answer:

The corrext answer is, 512.

3 0
3 years ago
Read 2 more answers
What is 5✓28 +✓63 In simplest radical form<br>I need it asap.
Ksenya-84 [330]

Answer:

13✓7

Step-by-step explanation:

5✓28 + ✓63

Break the radical into perfect squares.


5 times ✓4 times ✓7  +  ✓9 times ✓7

5 times 2 times ✓7  +  3 ✓7


10✓7 + 3✓7


13✓7

5 0
3 years ago
Please help!!
vodomira [7]

Answer:

The population will be 240,116

Step-by-step explanation:

Exponential growth can be represented by the expression:

P(t) = P_i\,(1+r)^t

where:

P(t) is the population at time (t)

P_i is the initial value of the population

"r" is the annual rate of growth (written in decimal form)

and "t" is the time in years.

Therefore in this situation, P(16) is what we want to find [the population after 16 years]

the initial population P_i is 110,000

the rate of growth is 0.05 [decimal form of 5%]

and t is 16 years.

Replacing all these in the given functional form gives:

P(t) = P_i\,(1+r)^t\\P(16)=110000\,(1+0.05)^16\\P(16)=240116

4 0
3 years ago
Other questions:
  • Horacio is solving the equation -3/4+2/5x=7/20x-1/2
    5·1 answer
  • Which is the best thing to do as a first step in using substitution to solve the system of equations?
    11·1 answer
  • Anybody know how to do this ?
    13·1 answer
  • Square root 230in simplified in redical form.
    7·1 answer
  • -3x² - 4x – 8=0<br> Does anyone know how to solve this?
    13·1 answer
  • List the potential solutions to 2log x − log3 = log3 from least to greatest.<br> X=?<br> X=?
    10·2 answers
  • Use the following probability model to answer the question.
    15·1 answer
  • 2m=-6n-5 literal equation
    9·1 answer
  • Kim buys a dress for $65 and some shirts for $15 each. Linda buys some shoes for $50 and some shirts for $20. If the girls spend
    6·1 answer
  • The diagram below shows part of the graph of y=g(x) .
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!