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
noname [10]
3 years ago
14

Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction. Samuel traveled 3km/h fa

ster than Heather. After 3.5h Samuel stopped for a half-hour break, but Heather kept going. At the end of the break, Heather was 8km ahead of Samuel. How fast was each going?
(this is a speed, distance, time question)
Mathematics
1 answer:
12345 [234]3 years ago
3 0

Samuel was going with 40 km/h and Heather was going with 37 km/h

Step-by-step explanation:

Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction

  • Samuel traveled 3 km/h faster than Heather
  • After 3.5 h Samuel stopped for a half-hour break, but Heather kept going
  • Heather was 8 km ahead of Samuel

We need to find how fast each was going

Assume that Heather's speed is x km/h

∵ Heather's speed = x km/h

∵ Samuel traveled 3 km/h faster than Heather

∴ Samuel's speed = x + 3 km/h

The formula of the distance is distance = speed × time

∵ Samuel travel for 3.5 hours

- Find the distance that Samuel traveled in 3.5 h

∴ Samuel distance = (x + 3) × 3.5

- Multiply the bracket by 3.5 to simplify

∴ Samuel distance = 3.5x + 10.5

∵ Samuel took a break for half hour

∵ Heather kept going

∵ At the end of the break, Heather was 8 km ahead of Samuel

- That means Heather was going for 4 hours (3.5 + 0.5), and her

   distance is longer than Samuel distance by 8 km

∴ Heather distance = x × 4 = 4x

- Subtract the distance of Samuel from the distance of Heather

   and equate the difference by 8

∵ 4x - (3x + 10.5) = 8

∴ 4x - 3x - 10.5 = 8

- Add the like terms in the left hand side

∴ 0.5x - 10.5 = 8

- Add 10.5 to both sides

∴ 0.5x = 18.5

- Divide both sides by 0.5

∴ x = 37

∵ x represents Heather's speed

∴ Heather's speed = 37 km/h

∵ x + 3 represents Samuel's speed

∴ Samuel's speed = 37 + 3 = 40 km/h

Samuel was going with 40 km/h and Heather was going with 37 km/h

Learn more:

You can learn more about the equation of motion in brainly.com/question/568302

#LearnwithBrainly

You might be interested in
Micah’s bill for dinner was $35.50. He left the server an 18% tip. What is the total amount that Micah paid for dinner including
Lilit [14]

Answer:

$41.89

Step-by-step explanation:

Can I get brainliest please?

7 0
3 years ago
Read 2 more answers
PLEASEEE HELP ME WITH THIA ASAPP
alexira [117]

Answer:

40

Step-by-step explanation:

to convert into radian measure, multiply by π/180

40 x π/10

4 0
3 years ago
Read 2 more answers
How much would $500 invested at 7% interest compounded continuously be worth after 4 years? Round your answer to the nearest cen
Greeley [361]

Hi I hope this helps;

3 0
3 years ago
Valus of m is :m+2m-6= -12+2m
nata0808 [166]
M + 2m - 6 = -12 + 2m
3m - 6 = -12 + 2m
      +6     +6
--------------------------------
3m = -6 + 2m
 -2m       -2m
-----------------------
1m = -6
/1      /1

m = -6
7 0
3 years ago
Read 2 more answers
Find the measure of <_A. (show work if possible).
Sholpan [36]

Answer:

<em>We </em><em>know </em><em>that </em><em>exterior </em><em>angle </em><em>of </em><em>a </em><em>triangle </em><em>is </em><em>equal </em><em>to </em><em>the </em><em>sum </em><em>of </em><em>two </em><em>opposite </em><em>interior </em><em>angle</em><em>.</em>

Step-by-step explanation:

<A = 4y

< B = 3y + 6°

<BCD = 111°

Now

<BCD = <A + <B( exterior angle of a triangle is equal to the sum of two opposite interior angle)

111° = 4y + 3y + 6°

111° - 6° = 7y

105° =7y

Therefore y = 15°

The measure of <A = 4*15°= 60°

4 0
3 years ago
Other questions:
  • A given line has the equation 10x + 2y = −2.
    15·2 answers
  • A pile of 42 coins worth $4.90, consisting of nickels and quarters. How many nickels are there?
    10·1 answer
  • Simplify the expression: z8 * z-3
    14·1 answer
  • Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression belo
    9·2 answers
  • How to solve using perfect square <br> x^2-4x-32=0
    6·1 answer
  • A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?
    13·2 answers
  • 393828294×3838383838229​
    5·1 answer
  • What's the mean median and range of 5, 15, 10, 20,15 10, 15
    5·1 answer
  • Find square root by prime factorization<br> <img src="https://tex.z-dn.net/?f=a%29%20%5Csqrt%7B576%7D" id="TexFormula1" title="a
    13·1 answer
  • . If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!