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
Damm [24]
2 years ago
11

Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike c

an carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour.
d) On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home, Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off ad pick up points.
Mathematics
1 answer:
choli [55]2 years ago
5 0

Answer:

Pick up point  is 1.43 km from the school and drop point is 3.57 km from the school  ( to the nearest hundredth).

Step-by-step explanation:

School <----------- 5 km ---------------> Home

_______ P _______ D _______        

      x  km          y km        5-x-y km

                     _______

                           y      

                     _________________

                                  5-x km

D is the point where Peter drops off N and P is the pick point x km from the school  where  Peter picks up R. He travels back y km to pick up R.

We work in times:

Time = distance / speed

The time that  R walks from the school to point P is the same  as Peter travels the distance  (x + 2y) km, so we have

x/5 =  (x + 2y)/20

20x = 5x + 10y

15x - 10y = 0     A

The time that N walks home equals the time that Peter travels y + 5 - x km.

So (y + 5 - x)/20 = (5 - x - y)/5

5y + 25 - 5x = 100 - 20x - 20y

15x  + 25y = 75

3x + 5y = 15   B

Solving equation A and B

15x - 10y = 0

3x + 5y = 15

Multiply the second equation by 2:

6x + 10y = 30

Adding this to the first equation

21x = 30

x = 30/21 = 1.4285

So  3(1.4285) + 5y = 15

y = 2.1428

Pick up x  = 1.43 km

and the drop is 1.43 + 2.14 = 3,57 km from the school

You might be interested in
A restaurant will select 1 card from a bowl to win a free lunch, jimmy puts 10 cards in the bowl. The bowl has a total of 150 ca
Phantasy [73]

The odds of jimmy winning a free lunch is 0.066.

<h3>What is Probability ?</h3>

Probability is the likeliness of an event to happen.

It is given that

A restaurant will select 1 card from a bowl to win a free lunch,

jimmy puts 10 cards in the bowl.

The bowl has a total of 150 cards in it

The odds of jimmy winning a free lunch is given by

= No. of chances / Total Outcomes

= 10/150

= 1/15

= 0.066

Therefore the odds of jimmy winning a free lunch is 0.066.

To know more about Probability

brainly.com/question/11234923

#SPJ1

3 0
2 years ago
Find the value of x?
galben [10]
X=4.1

.,/.,/.,/.,./,/.,./,./,/.,/.,/.,/.,.,/<>,/><>?<?><?,>?<?></.,?>,?><?,?>,?><.?><
6 0
3 years ago
HELP!! I WILL GIVE BRAINLIEST
FrozenT [24]

Number one: Just plot down on the number like the numbers you have. Just took the test for this.

3 0
2 years ago
How does the graph of y=ax^2+c compare to a graph off y=ax^2?
DENIUS [597]
Shifting a graph up by c units involves adding c to the whole function

therefor
y=ax^2+c is c units higher than y=ax^2 (aka, it is shifted c units up)
3 0
3 years ago
I need help again yall
12345 [234]

Answer: 4z + 28

Step-by-step explanation:

We can distribute the 4 to each term inside the parenthesis.

So 4(z+7) = 4*z + 4*7

= 4z + 28

6 0
2 years ago
Read 2 more answers
Other questions:
  • Packages of batteries normally sell for $4.99. They are now 20% off. How much would you have to pay?
    14·1 answer
  • In the graph, if the number of manufactured units falls below 6.25, then the business will be operating in what state?
    11·1 answer
  • Whixh graph shows a plot of the complex number I -2?
    15·1 answer
  • Find the value for x.
    15·1 answer
  • When it comes to equity, what does it mean to have negative equity or be under water?
    11·1 answer
  • A line that goes through the origin and the point (10, 5) what is the slope
    11·1 answer
  • Answer the question now
    7·1 answer
  • 5x-4=3x-6<br> Solve equation.<br> PLEASE HELP ASAP
    9·1 answer
  • Which set of ordered pairs represents y as a function of x?
    9·1 answer
  • Translate the following verbal expressions into
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!