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
klemol [59]
3 years ago
11

"A passenger train traveled 100 miles in the same amount of time it took a freight train to travel 90 miles. The rate of the fre

ight train was 10 miles per hour slower than the rate of the passenger train. Find the rate of the passenger train."
Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer: the rate of the passenger train is 100 mph.

Step-by-step explanation:

Let x represent the rate of the passenger train.

The rate of the freight train was 10 miles per hour slower than the rate of the passenger train. It means that the rate of the freight train is (x - 10) mph

The passenger train traveled 100 miles. It means that the time it took travel 100 miles is

100/x

In the same amount of time, it took a freight train to travel 90 miles. It means that the time it took travel 90 miles is

90/(x - 10)

Since the time is the same, then

100/x = 90/(x - 10)

Cross multiplying, it becomes

100(x - 10) = 90x

100x - 1000 = 90x

100x - 90x = 1000

10x = 1000

x = 100 mph

You might be interested in
Keisha makes a large sandwich for a family picnic she takes one half of the sandwich to the picnic at the picnic her family eats
igor_vitrenko [27]

she brings back 1/8 of the sandwich

5 0
3 years ago
Read 2 more answers
Evaluate ƒ( x ) = x 2 + 1 for ƒ(10).
vlabodo [156]
F(x) = x^2 + 1  f(10)
f(10) = 10^2 + 1
f= 101
7 0
3 years ago
Twellve concert tickets cost $450 what is the cost of 3 tickets to the same concert
Scrat [10]
1) $450/12=$37.50
2)$37.50x3=$112.50

The answer is: $112.50

I hope this helps
4 0
3 years ago
Please answer the question, I think I have the answer but I'm not sure.
Georgia [21]

Answer:

20cm

Step-by-step explanation:

Frame L&W: 25×20

PictureL&W:20×16

25-20=5

Length of Picture frame=5

Length of Picture frame=4

5×4=20cm²

To find area you multiply length by width

8 0
2 years ago
Graph the solution set of the following linear inequality<br> -7y+49&lt;7x
cluponka [151]
Hello here is a solution  

4 0
2 years ago
Other questions:
  • Simplify the following expressions by using the order of operations
    9·1 answer
  • Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog
    6·2 answers
  • ANYONE FEEL LIKE THEY DON'T BELONG
    8·2 answers
  • If G(x) =1/x were shifted 2 units to the left and 2 units up, what would the new equation be? A. G(x)=1/x-4 B. G(x)=1/(x-2)+2 C.
    5·2 answers
  • a biker carries a two ounce package of concentrated fruit juice that's 10% water. how many ounces of water does she have to add
    9·1 answer
  • Hello please help i’ll give brainliest
    6·1 answer
  • What is the value of ?<br> 14 when z = 9?
    10·2 answers
  • I NEEP HELP ASAP PLEASE AND THANK YOU
    15·1 answer
  • 8/5 / 1/4 HELPPPPPPPPPPPPPPPPPPPPPP
    5·2 answers
  • -3 (x + 3) &gt; 15<br><br>WHAT IS THE ANSWER + SHOW WORK PLS<br>FIND VALUE OF X​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!