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
max2010maxim [7]
3 years ago
8

When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

ower than Max on his hoverboard. They took off on hoverboards at the same time, but after 12 minutes, Victoria’s hoverboard broke and she immediately started to run. If the race was a tie, how long, in minutes, did it last from start to finish?
Mathematics
2 answers:
Black_prince [1.1K]3 years ago
5 0
<h2>Answer:</h2>

The time will be 48 minutes

<h2>Step-by-step explanation:</h2>

Let r be Max's rate of speed and t be the total time.

Using the equation d = rt for this situation

Victoria is 3 times as fast as Max so her part gives us the expression 3r(12)

For the remaining part of the race, Victoria is 3 times slower than Max.  Lets represent it as 1/3r.  Since we do not know the amount of time she travels this way so we will represent this as 1/3r(t-12)

Together the distance on hoverboard and the distance on foot can be represented by d=3r(12)+1/3r(t-12).

So we have

3r(12)+1/3r(t-12) = rt

Simplifying, we have

36r+1/3r(t)-1/3r(12) = rt

36r + 1/3rt - 12/3r = rt

36r + 1/3rt - 4r = rt

Combining all the like terms,

32r + 1/3rt = rt

Subtract 1/3rt from each side:

32r + 1/3rt - 1/3rt = rt - 1/3rt

32r = 2/3rt

Divide both sides by r we get

32r/r = (2/3rt)/r

32 = 2/3t

Divide both sides by 2/3 we get

32 ÷ 2/3 = 2/3t ÷ 2/3

32 ÷ 2/3 = t

32/1 × 3/2 = t

96/2 = t

<h2> 48 = t</h2>
NARA [144]3 years ago
4 0

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

36x+\frac{xt}{3}-4x=xt

x(36+\frac{t}{3}-4)=xt

36+\frac{t}{3}-4=t

32=t-\frac{t}{3}

\frac{2t}{3}=32

t=\frac{(32)3}{2}=48

So 48 minutes it took to complete the race.

You might be interested in
The quiz grades for ten students were used to make the box plot shown above. Which of the following is the median quiz grade?
coldgirl [10]

Answer:

81

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Adding integers with integer tiles
KIM [24]
C.) -1.
Explanation: 4 + -5 = -1. When you have a negative number plus a positive you subtract. Then take the highest numbers positive or negative symbol. Hope that helps.
3 0
3 years ago
Solve the expression (7th grade math):<br><br> -0.8m+3-12.5m+95.36m
Lana71 [14]

Step-by-step explanation:

<u>Combine Like-Terms:</u>

-0.8m + 3 - 12.5m + 95.36m

-13.3m + 3 + 95.36m

82.06m + 3

82.06m + 3 is your simplified expression.

7 0
2 years ago
If vector u = &lt;-3.5, -1.5&gt; and vector v = &lt;-1.25, 2.25&gt;, which graph shows the resulting vector for 2v − u?
Sedaia [141]

Answer:

D

Step-by-step explanation:

We know that vector addition is scalar addition.

Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>

2v = < -2.5, 4.5>

2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >

2v-u = < 1 , 6 >

This vector is basically i + 6j which is drawn in option D

8 0
3 years ago
CAN YOU GUYS PLEASE HELP ME WITH THESE QUESTIONS...ITS WORTH 50 POINTS..AND I WILL MARK BRAINLY pt2.
Pavel [41]

Answer: what i would do is add a zero

Step-by-step explanation:

hope that help u have a wonderful day

7 0
3 years ago
Other questions:
  • translate into an equation and solve. what percent of 64 is 16? (do not round until the final answer. then round to two decimal
    7·1 answer
  • A customer buys four products price tag 1822 35 and 40 from the same store the customer Returns the most expensive product and g
    9·1 answer
  • Image is the question
    8·1 answer
  • The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c
    14·1 answer
  • Using substitution how do u solve <br> 3y+2x=6<br> and 5y-2x=10
    12·2 answers
  • A number cube has sides numbered 1though 6 the probability of rolling a 2 is
    6·1 answer
  • You pick one apple from the basket.
    6·2 answers
  • Hi! i’ll give brainliest please help
    15·2 answers
  • NEED HELP THIS IS MY LAST QUESTION (WRONG ANSWERS GET BLOCKED)
    5·1 answer
  • What do l do??? Need help
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!