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
Leno4ka [110]
3 years ago
11

Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north

at a rate of 6 mi/hr. The other leaves the same point at 1:15 P.M., traveling due south at 9 mi/hr. For how many minutes after 1:00 P.M. will they be able to communicate with one another? (Round your answer to the nearest minute.)
Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer:

The answer is 21 minutes

Step-by-step explanation:

We use the equation Xf = Xo + vt

1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])

2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]

  • x_{1f1} =x_{o} +v_{1} t_{1} \\x_{1f1} =0+.1(15)\\x_{1f1} =1.5 [mi]

3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]

  • Child 1 final position => x_{1f} = x_{1f1} +v_{1} t\\x_{1f} =1.5+v_{1} t
  • Child 2 final position => x_{2f} =0+v_{2} t

4) Sum the equations and equate to 3

  • x_{1f} +x_{2f} =3

5) Substitute the values we already know

  • 1.5+v_{1} t+v_{2}t=3\\ 1.5+.1t+.15t=3\\1.5+.25t=3\\t=\frac{3-1.5}{.25} \\t=6 [min]

6) in 15 + 6 minutes they will be 3miles apart

7) In 21 minutes they will still be able to communicate with one another.

You might be interested in
PLEASE HELP!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!
n200080 [17]
12 dimes and 48 nickles is the correct answer to the problem

 

6 0
3 years ago
Read 2 more answers
Question 1: Assume that y varies inversely with x. If y=9 when x=7, find y when x=2. Enter in any fractions using a / (e.g. "1/2
oksano4ka [1.4K]

Answer:

3

Step-by-step explanation:

trust me

6 0
3 years ago
Honestly help I’m slow
SashulF [63]

Answer:

46 degrees

Step-by-step explanation:

x equals 23 so just multiply by 2

4 0
3 years ago
Read 2 more answers
A speed limit is 35 mph. A car is travelling 10 mph over the speed limit. I’d that a sum of 0
max2010maxim [7]

Answer:

The car is going 45 mph

Step-by-step explanation:

Since the speed limit is 35 mph and the car is 10 mph over the speed, we can add them to find out how fast the car is going. We can solve 35+10 which will give us 45. So it is not a sum of 0 but instead a sum of 45.

(hope this helped)

5 0
3 years ago
Read 2 more answers
Please provide with work (will give brainliest)
Tatiana [17]
I would graph the points and find the equation
8 0
3 years ago
Read 2 more answers
Other questions:
  • Kimberly goes on a road trip; her car gets 25 miles per gallon (mpg) and gas costs $3.24 per gallon. Let n represent the number
    8·1 answer
  • Triangle ABC is described below. Find all possible values for B, C, and c.
    12·1 answer
  • If h(x) is the inverse of f(x), what is the value of h(f(x))?.
    15·2 answers
  • Find the dimensions of the square <br> Area=441cm over 2
    9·1 answer
  • the original price for a Jacket is $79.95 the sale price for the sane jacket is $62.79, if you have 59.20, in your pocket how mu
    6·1 answer
  • Complete the statements to find the measurements of angle a and angle b ​
    8·2 answers
  • 6th Grade Math
    11·2 answers
  • I need help on this question thanks
    12·1 answer
  • What is the equation of the line that passes through the point (4,7) and has a slope<br> of -1/4
    10·1 answer
  • Find the slope of the line that passes through the points (4, 3) and (2, 7).
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!