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
SCORPION-xisa [38]
3 years ago
5

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi

ng north is riding 6 km/hour faster than the bicyclist heading south. At 10:15, they are 42.5 km apart. Find the two bicyclists’ rates.
Mathematics
1 answer:
Viktor [21]3 years ago
3 0

Answer: The rates of bicyclists of north and south are  20km/hr and 14km/hr respectively.

Step-by-step explanation:

Since we have given that

Let the speed of bicyclist heading south be 'x'.

Let the speed of bicyclist heading north be 'x+6'.

Since they are moving in opposite directions,

So, relative speed = x+x+6=2x+6

Time taken = 10: 15 to 9:00 = 1 hour 15 minutes = 1\dfrac{15}{60}=1\dfrac{1}{4}=\dfrac{5}{4}

Distance between them = 42.5 km

According to question, it becomes,

\dfrac{Distance}{time}=Speed\\\\\dfrac{42.5}{\dfrac{5}{4}}=2x+6\\\\42.5=\dfrac{5}{4}(2x+6)\\\\4\times 42.5=5(2x+6)=10x+30\\\\170=10x+30\\\\170-30=10x\\\\140=10x\\\\x=\dfrac{140}{10}\\\\x=14\ km/hr

Speed of bicyclist heading north would be 14+6=20 km/hr

So, the rates of bicyclists of north and south are  20km/hr and 14km/hr respectively.

You might be interested in
2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k
Debora [2.8K]

Answer:

k = 4

Step-by-step explanation:

if f(x) is divided by (x - h) then f(h) is the remainder

f(x) = 2x³ - 3x² + kx - 1

divided by (x - 1) , so h = 1 , then

2(1)³ - 3(1)² + k(1) - 1 = 2

2 - 3 + k - 1 = 2

- 2 + k = 2 ( add 2 to both sides )

k = 4

7 0
2 years ago
Math is garbage and it sucks please help before I smash my laptop with a brick
miss Akunina [59]

Answer:

7x+66=122

Hope this helps =]

5 0
3 years ago
Read 2 more answers
the figure below are squares. Find an expression for the area of each shaded region. Write your answer in standard form.
zheka24 [161]
(X+3)^2 -(X)^2
(X^2+6x+9) - X^2
6x+9

6 0
3 years ago
7x + 10x + 20 = what​
RSB [31]

Answer:

the answer is 17x+20

Step-by-step explanation:

7x+10x+20

17x+20

hope it helps

mark me brainliest pls

6 0
3 years ago
Read 2 more answers
Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8
Vaselesa [24]

Answer:

Wilhem

Step-by-step explanation:

The given equation is

32g+8g-10g=150

Step 1 : Add 32g and 8g.

(32g+8g)-10g=150

(32+8)g-10g=150

40g-10g=150

Step 2: Subtract 10 from 40.

(40-10)g=150

30g=150

Step 3: Divide both sides by 30, find the value of g.

\frac{30g}{30}=\frac{150}{30}

g=5

The value of g is 5.

Therefore, Wilhem is correct.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Circle all the ODD NUMBERS UNDERLINE all the EVEN numbers
    7·1 answer
  • 20. A cement mixer held 6 3/4 tons of cement. Ms. Folley used 2/3 of the cement for her driveway. How many tons of cement remain
    11·1 answer
  • Solve by the elimination method. Show your work <br> 2x – 5y = 1<br> 3x – 4y = -2
    15·1 answer
  • 1=2323<br> x=2323<br> what will xe be if the eqation is x21=232x2312/232
    11·1 answer
  • While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between
    13·1 answer
  • A right triangle, AB=14inches <br><br> ,C=58 degrees, B=77 degrees <br><br> using law of sines
    7·1 answer
  • The angles shown above form a linear pair. Show all of your work for full credit.
    13·1 answer
  • Can i get help on these
    9·1 answer
  • An architect is drawing a house with a living room measuring 18 feet in length. On the blueprint, the length of the living room
    8·1 answer
  • Im so confused. Please help! I need this tonight!!​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!