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
ohaa [14]
3 years ago
9

Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi

nt. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes. What are their rates, in meters per minute?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Answer:

  • Alan: 200 m/min
  • Brian: 150 m/min

Step-by-step explanation:

Let n represent the number of laps that Alan completes in 9 minutes. Then n-1 is the number of laps Brian completes, and the difference in their lap times in minutes per lap is ...

  9/(n -1) - 9/n = 3/4 . . . . . minutes

Multiplying by (4/3)n(n -1), we get

  12n -12(n -1) = n(n -1)

  12 = n(n -1)

Solutions to this are n=4 and n=-3. We are only interested in the positive solution, n = 4. Then Alan's speed in m/min is ...

  (4·450 m)/(9 min) = 200 m/min

Brian completes 3 laps in that 9-minute time, so his rate is ...

  (3·450 m)/(9 min) = 150 m/min

You might be interested in
Find the product.<br><br> (-2x ^2)^3 ·3x
makvit [3.9K]

(-2x ^2)^3 ·3x

=(-2)^3 * x^6 *3 *x

= -24x^7

7 0
3 years ago
Simplify 3xy - 9xy + 11y
iogann1982 [59]
-6xy+11y
Shehshdhdhsbsvsvsvsvs
5 0
2 years ago
Read 2 more answers
7 × [(25 − 2) − (2 + 3)]
oee [108]

Answer:

126

Step-by-step explanation:

25-2=23

2+3=5

23-5=18

7*18=126

8 0
3 years ago
Start by finding the scale of this map. At the actual gym, one side length of the snack stand is 60 feet. On the scale map, it i
Elenna [48]

Answer:

I actual foot represents 0.01093 foot on paper

Step-by-step explanation:

Given that :

Actual side length of snack stand = 60 feets

Length of side on map = 20cm

Scaie :

60 feet = 20cm

1 foot = (20/60) cm

1 foot = 0.333 cm

1cm = 0.0328084 foot

0.333cm = (0.33 * 0.0328084) = 0.01093 feets

Scale :

I actual foot represents 0.01093 foot on paper

3 0
3 years ago
Make a T-chart with 5 points and Graph the function below on the graph paper you have been provided with. Identify the Key featu
olasank [31]

Answer:

look this up ok

Step-by-step explanation:

Graph axis of symmetry vertex and max and min, domain and range

8 0
3 years ago
Other questions:
  • Please help, I can't figure out where to plot my points.
    13·1 answer
  • Hank delivers packages in his office building on Tuesday he delivers four more packages then on Monday and on Wednesday he deliv
    15·2 answers
  • PLEASE HELP-20 POINTS
    8·1 answer
  • Identify the slope (m) and y-intercept (b) of the graph of each equation y=1/2x-7
    6·1 answer
  • What is the volume of a prism where the base is a 45-45-90 triangle with a leg of 5 in. when the height is 1.8 in.?
    10·2 answers
  • Anne bought 3 hats for $19.50. which equation could be used to find the cost of each equation?
    15·2 answers
  • Does anyone know what would be the equation for this Emily has $250 in her savings account. She plans to save $15 per week from
    5·2 answers
  • lets play a game if you follow the rules you win 100 points plus brainlist if u lose and brake rules we report you in this game
    14·2 answers
  • Hannah sells computers. The amount of her monthly sales for the first half of the year are listed below:
    8·1 answer
  • Hep look below 50 points
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!