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
Semenov [28]
3 years ago
5

a passenger train leaves a train depot 2.5 after a freight train leaves the same depot the passenger train is traveling 13 mph f

aster than the freight train. find the rate of each train if the passenger train overtakes the freight in 5 h
Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

Freight = 13 mph

Passenger = 26 mph

Step-by-step explanation:

Givens

<em><u>Freight Train</u></em>

Rate = r

time = 5 hours

distance = 5*r

<em><u>Passenger Train</u></em>

r = r + 13

t = 2.5 hours

d = (r + 13)*2.5

Formula

The distances are the same so the rate times the time can be equated.

(r + 13) * 2.5 = 5*r            

Solution

Divide both sides by 2.5

(r + 13)*2.5 / 2.5 = 5* r / 2.5

r + 13 = 2r                              Subtract r from both sides.

r - r + 13 = 2r - r

13 = r                                     Switch and divide by 1.5

r = 13                                     Freight train

r + 13 = 13 + 13 = 26 mph.    Passenger train.

Both trains traveled a distance of 65 miles.  See if you can see why.


You might be interested in
What is the value of the expression 6n when 7=n
boyakko [2]
42. 6 * 7 = 42. just plug in 7 where n would be
6 0
3 years ago
Whats the missing leg?
joja [24]
8^2+b^2=10^2
64+b^2=100
-64 -64
b^2=36
Square root both sides to get 6^2.
5 0
3 years ago
Read 2 more answers
I'm just learning about this help please<br><br>794.561 x 10 2​
andre [41]

Answer:

79456.1

Step-by-step explanation:

is it 794.561 × 10(2)?

4 0
3 years ago
Two congruent angles have the same angle measure.
muminat

Answer:

True is the ans.

I hope it helps you.

7 0
3 years ago
Read 2 more answers
Helpp me pleasee correct answers! (10 points )
Softa [21]

Answer:  Approximately 30.4 degrees

=========================================================

Work Shown:

324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.

The adjacent side is 550 since it is the leg closest to the angle theta.

We'll use the tangent rule to connect the two sides

tan(angle) = opposite/adjacent

tan(theta) = 322.4/550

theta = arctan(322.4/550)

theta = 30.3780566013696

theta = 30.4

Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.

5 0
3 years ago
Other questions:
  • Find the product of (x + 3)(x − 3)
    9·2 answers
  • The score with respect to par of several golfers:2,-3,5,0,-1
    9·1 answer
  • What is the price of a $25 shirt after a 25% discount?
    13·2 answers
  • A jar contains n nickels and d dimes. There are 30 coins in the jar, and the total value of the coins is $2.20. How many nickels
    7·1 answer
  • What is the nth term of the geometric sequence 4, 8, 16, 32, ... ?
    9·1 answer
  • Find the 12th partial sum of <br>∞<br>∑  (-2i-10)<br>i-1
    13·2 answers
  • How do i properly write out the equation​
    14·1 answer
  • How would I solve this?
    13·2 answers
  • 438 Friday night, 820 Saturday night and 636 Sunday afternoon. How many more people attended the play on Sunday than on Friday?
    5·1 answer
  • Ustrating the fine basic
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!