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
Rus_ich [418]
3 years ago
14

On a 1 mile track, Runner A has made 18 laps in the time it took Runner B to make 8 laps. If Runner A is running 5 mph faster th

an Runner B, how fast is each of them running?
Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

Runner A is running at 9 mph while runner B is running at 4 mph

Step-by-step explanation:

From online values, 4 laps make 1 mile.

We are told Runner A has made 18 laps in the time it took Runner B to make 8 laps.

This means that runner A has run in mile; 18/4 = 4.5 miles

While runner B has run in miles; 8/4 = 2 miles

Runner A is running 5 mph faster than Runner B, thus speed of runner A is;

V_b + 5 while speed of runner B is V_b.

We know that; time = distance/speed

Thus;

t_a = 4.5/(V_b + 5)

t_b = 2/V_b

Since the times are equal from the question, then;

4.5/(V_b + 5) = 2/V_b

Cross multiply to get;

4.5V_b = 2(V_b + 5)

4.5V_b = 2V_b + 10

4.5V_b - 2V_b = 10

2.5V_b = 10

V_b = 10/2.5

V_b = 4 mph

Since V_a = V_b + 5

Thus, V_a = 4 + 5 = 9 mph

Runner A is running at 9 mph while runner B is running at 4 mph

You might be interested in
Find the area of the triangle that divides the parallelogram in half.​
nignag [31]

equation: 1/2bh

workings...

13x9= 117

117/2=58.5

answer: 58.5cm^2

4 0
4 years ago
The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?
marissa [1.9K]
To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}  =  \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}

x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 
D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}
D_{AB}= \sqrt{(3)^2+(-1)^2}
D_{AB}= \sqrt{9+1}
D_{AB}= \sqrt{10}

Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×\sqrt{10}

The answer is (2)

8 0
4 years ago
Please don't answer just for points!! this is for my semester grade!!!
julsineya [31]

Answer:

x=11 and the number of solutions is one solution

Step-by-step explanation:

The square root of 121 is 11. There are no other solutions, I believe.

6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!<br> What’s the perimeter and area of this figure?
yulyashka [42]

Perimeter is 7y+2

Area is 4y^2+1y

3 0
3 years ago
I need help with my quiz what is 100×100
creativ13 [48]

Answer:

10000 (Typo)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of 3/4 and 18/19 is closest to 0, 1, 2
    14·2 answers
  • Which series of transformations take the graph of f(x)=4x+9 to the graph of g(x)=−4x+7 ?
    12·2 answers
  • ???????????????????????????
    5·1 answer
  • William bought a new backpack at the store when they were having a 40% percent off sale. If the regular price of the backpack wa
    5·2 answers
  • Please help I need it ASAP
    8·1 answer
  • The Hoffman family has bought one pizza on Friday night every week for the last 10 years. How many pizzas have they bought on Fr
    7·1 answer
  • Please help im desperate no. 48 and 49​
    14·2 answers
  • .Hermes gets $4 an hour for babysitting. He needs to eam at least $100 for a stereo. Write and solve
    9·2 answers
  • The expression 12h + 200p represents the amount (in dollars) that an insurance salesperson earns for working h hours and selling
    13·2 answers
  • Find x in each triangle
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!