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
Nataliya [291]
2 years ago
12

Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the othe

r. If they meet in 2 hours, what is the rate of each bus?
Mathematics
1 answer:
8090 [49]2 years ago
7 0

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

You might be interested in
For football tryouts at a local school, 12 coaches and 42 players will split into groups. Each group have the same number of coa
melamori03 [73]
<span>The biggest number of groups that can be formed is 6, because six is the greatest common factor of 12 and 42. There will be 2 coaches in each group because 6 x 2 = 12 and 7 players in each group because 7 x 6 = 42.</span>
4 0
3 years ago
Read 2 more answers
How to simplify 7 1\2
Otrada [13]
7 1/2 is already simplified to its lowest terms
6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!! DUE TODAY!!!
Akimi4 [234]

Answer:

5

Step-by-step explanation:

Rental = $40

Catering = $12 per person

Budget = $100

Amount left after paying for the rental

= 100 - 40

= $60

Maximum number of guests

= 60 ÷ 12

= 5

5 0
2 years ago
Need help with this question!
Katyanochek1 [597]

Answer:

  • A = 0.85(b +47)
  • $143.65

Step-by-step explanation:

Since the number of bagels sold already is 47, the total number of bagels sold will be b+47. The revenue from each sale is $0.85, so the total revenue will be ...

  A = 0.85·(b +47)

This equation can be written in different forms, but this satisfies the requirement for "an equation."

__

Since b is the number of addition bagels, when 122 additional bagels are sold, the value of b is 122. Then the equation becomes ...

  A = 0.85·(122 +47)

  A = 0.85·169 = 143.65

Revenue will be $143.65 when 122 additional bagels are sold.

4 0
3 years ago
Box plots got me confused!! Help please due in 10 minutes!!
Pie
First draw a line on the smallest number, and one on the largest. then calculate the midpoint (n+1)/2 the value, and draw that line in the middle. calculate upper quartile and lower quartile and draw lines on them. draw a line between the tops of the quartiles and one between the bottom, and from the middle of the lines to the minimum and maximum. sorry if not explained well
6 0
3 years ago
Other questions:
  • Central Subs made 27 sandwiches using 12 pound of turkey. How much turkey was used per sandwich
    13·1 answer
  • Please solve this with steps:<br>-4.5=-1.2k​
    12·1 answer
  • Can someone please explain
    5·1 answer
  • what are the coordinates of a point on the unit circle if the angle formed by the positive x- axis and the radius is 45°??
    7·1 answer
  • Jorge has only dimes and nickels in his piggy bank. He has a total of 77 coins. The value of the coins is $6.95. Write and solve
    13·1 answer
  • Harrys dog weighs 12 7/8 pounds. what is the weight of harry's dog written as a decimal
    8·2 answers
  • Please help on number 5, multiple choice
    5·2 answers
  • Algebra is confusing !! :(
    15·2 answers
  • Frito lay mix variety in pack 28 bags for 9.88 cost per bag
    7·1 answer
  • A flat fee of $15.25 plus $3.45 per pound of supplies ordered is added to the bill to cover the shipping cost.The teacher budget
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!