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
Consider the following system of equations:
IrinaK [193]

Answer:

x = 6 ; y = -9

Step-by-step explanation:

8 x + 2 y = 30  ..........equ No 1

7 x + 2 y = 24......... equ No 2

8 x = 30 - 2y

∴ x =\frac{ 30 - 2 y}{8}

substituting the value of x in equ No 2

7 \frac{30 - 2 y}{8} + 2 y = 24

7 ( 30 -2 y) + 2 y × 8 = 24 × 8

7 × 30 - 14 y + 16 y = 192

210 + 2 y = 192

2 y = 192 - 210

2 y = - 18

∴ y = - 9

put y = -9 , 8 x = 30 - 2 y

        8 x = 30 - 2 ( -9)

    8 x = 30 - ( -18)

  8 x = 48

∴ x = 6

x = 6 ; y = -9

3 0
3 years ago
40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the
navik [9.2K]

50%. students (in percent) who passed the second exam also passed the first exam.

Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.

Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.

Thus, both tests were passed by 40 of the 80 pupils who passed the second one:                                      

40/80 = 1/2 = 50%.

Find out more on Percentage at:

brainly.com/question/24877689

#SPJ4

7 0
1 year ago
Dave has $8000 in a savings account, $6000 invested in the stock market, he
Agata [3.3K]

Answer:

D. $11,800 Dave's net worth

5 0
3 years ago
Convert 45 kilograms to grams​
olga55 [171]
450000 see man I no
8 0
3 years ago
F(x) = 2x2 - 4x?; Find (-4)
anastassius [24]

Answer:

0 (zero)

Step-by-step explanation:

Plug in the variable for -4 and solve

y= 2(-4)2-4(-4)

y= -8(2)-4(-4)

y=-16+16

y=0

4 0
3 years ago
Other questions:
  • an artist agrees to paint a landscape painting at $0.30 per square inch. if the paint is 13 inches by 17 inches how much should
    7·2 answers
  • Find the midpoint (9,1), (8,-4)
    13·1 answer
  • Help pls i'm so confused I really need help
    11·1 answer
  • Let's say there are 1,000 lawyers in the USA and 100 of them are Oreo cookie lovers. These 100 lawyers consumer a total of 800 O
    14·1 answer
  • Isaac And his brother and sister Jake,Rosie was playing on the Xbox one Isaac spend 12x13 dollar on a game jake spend 52x12 in a
    8·2 answers
  • 25 pts and a mark for real answers. Help!! A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate ch
    14·1 answer
  • how do you get the answer for 1 5 over 8 and decimal 1.625 PLZ HELP I WILL GIVE YOU 50 POINTS FOR THIS
    12·1 answer
  • In the following figure, select whether the green and red graphics are functions or not
    10·1 answer
  • What is 3a^9r^-3/-4a-2
    6·1 answer
  • In ΔNOP, the measure of ∠P=90°, PN = 95 feet, and OP = 31 feet. Find the measure of ∠O to the nearest degree.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!