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
riadik2000 [5.3K]
2 years ago
11

Two trains leave towns 1490 kilometers apart at the same time and travel toward each other. One train travels 20 km/h slower tha

n the other. If they meet in 5 hours, what is the rate of each train?
Mathematics
1 answer:
antiseptic1488 [7]2 years ago
7 0

Answer:

the rate of each train is 139 km/h and 159 km/h.

Step-by-step explanation:

let

v = the rate of the slower train

v + 20 = the rate of the faster train

d = 1490 km the distance that the two train will travel

t = 5 hr the time of the travel

since speed = distance/time => distance = speed*time

v*t + (v+20)t = d

5v + 5(v + 20) = 1490

5v+5(v+20)=1490

Step 1: Simplify both sides of the equation.

5v+5(v+20)=1490

5v+(5)(v)+(5)(20)=1490(Distribute)

5v+5v+100=1490

(5v+5v)+(100)=1490(Combine Like Terms)

10v+100=1490

10v+100=1490

Step 2: Subtract 100 from both sides.

10v+100−100=1490−100

10v=1390

Step 3: Divide both sides by 10.

10v/10 = 1390/10

v = 139km/h

Next

we add 139 to 20

139 + 20 = 159 km/h

the rate of each train is 139 km/h and 159 km/h.

You might be interested in
A single paper clip is made from 9.2 centimeters of wirr. whatnis the frestest number of paper clip that csn be made from 10 met
AnnZ [28]

Answer:

The most paper clips that can be made from 10 meters of wire is 105.

Step-by-step explanation:

There are 1000 centimeters in one meter. 9.2 times 105 is 966, which is the closest whole number you can get to 1,000 without going over.

4 0
2 years ago
Read 2 more answers
A right triangle. A side is StartRoot 34 EndRoot meters and the hypotenuse is 9 meters.
Illusion [34]

Answer:

B,C, and E

Step-by-step explanation:

4 0
3 years ago
What is 11 -2/11 plz answer this
Anestetic [448]

Answer:

9/11

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Which pair of numbers are not opposites?
mrs_skeptik [129]

Answer:

The answer is C, 17 and | -17|

Step-by-step explanation:

We can solve this using the process of elimination.

Looking at the first one, we know that those | | around the 7 mean to find the absolute value. The absolute value is the number of units the number is from zero, and it is always positive. This means that it is saying 7 and -7. Those are opposites, so we know that this isn't right.

17 and -17 are opposites, since the opposite of a positive is a negative.

The last one is the same. 71 and -71 are opposites. That leaves us with C.

Remember that those | | mean to find the absolute value of. -17 is 17 unites from zero. So is 17 the oppostie of 17? No, so these are not opposites, and therefore are our answer.

8 0
2 years ago
Read 2 more answers
Maddie has a retangular garden in her backyard. The perimeter of the garden is eighty-two feet. The width is five shorter than t
Ulleksa [173]
The length is 46 feet and the width is 36 feet.
5 0
2 years ago
Other questions:
  • Round 27,141 to the nearest ten​
    11·1 answer
  • A square has side lengths of 2x inches. An equilateral triangle has side lengths of (2x+1/3) inches. If the square and the trian
    10·2 answers
  • the sum of 3 consecutive integers is 42.let x be the middle of the three integers. transcribe the statement accordingly
    6·1 answer
  • What times 5/6 equals 10/3
    11·2 answers
  • Estimate the minimum sample size needed to achieve the margin of error E= 0.101 for a 95% confidence interval.
    7·1 answer
  • Solve the equation 2x^2 + 5x – 8 = 5/2x + 20 by writing a linear-quadratic system and solving using the intersection feature of
    14·2 answers
  • Interval of [0⁰,360⁰]<br><br><br>3 sin² tan 0-3 sin²0 = 0<br><br><br>20 points​
    5·1 answer
  • Name 3 things that you need to know to know somethings volume. (teacher didn’t say what)
    6·1 answer
  • Someone please help me with number 4
    12·1 answer
  • A customer at a store paid $60 for 2 large candles and 6 small candles. At the same store, a second customer paid $5 more than t
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!