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
Tpy6a [65]
3 years ago
9

Joey's strategy for his first marathon (26.2 miles)was to run 2 miles, walk 1 mile, run 2 miles, walk 1 mile, and continue this

pattern until he completed the race. Joey's average running pace is 8 minutes per mile, and his average walking pace is 16 minutes per mile. How many minutes will it take Joey to complete the marathon
Mathematics
1 answer:
lana [24]3 years ago
5 0
<h3>Answer:  275.2 minutes</h3>

========================================================

Explanation:

We have this sequence

(2+1)+(2+1)+(2+1)...

Effectively, we're repeating "2+1" over and over.

We can see that

  • 2+1 = 3
  • (2+1)+(2+1) = 3+3 = 6
  • (2+1)+(2+1)+(2+1) = 3+3+3 = 9

Each time we add on another copy of (2+1), we're adding on 3

Dividing 26.2 over 3 gets us (26.2)/3 = 8.733 approximately

If we had 8 copies of (2+1) added together, then we would get

8*(2+1) = 8*3 = 24

This is 26.2-24 = 2.2 miles short of his goal.

He'll need to run 2 more miles, plus walk another 0.2 of a mile

----------------------------------------------------

In summary so far, Joey will run 8+1 = 9 sections (two miles each) and walk 8 sections that are 1 mile each. At the very end, he'll walk 0.2 miles to finish the race. Each running and walking section is alternated of course.

Since he runs 9 sections, each 2 miles, that accounts for 9*2 = 18 miles.

His running pace is 8 minutes per mile, so this means he has run for 8*18 = 144 minutes. This is just the running part and not the walking part.

Let A = 144 so we can use it later.

----------------------------------------------------

He walks 8 sections of 1 mile each. His walking pace is 16 minutes per mile. This must mean he spends 8*16 = 128 minutes on this walking portion.

Then for the last 0.2 mile section he walks, we can solve the proportion below

(1 mile)/(16 min) = (0.2 miles)/(x min)

1/16 = 0.2/x

1*x = 16*0.2

x = 3.2

He spends 3.2 minutes walking the remaining 0.2 of a mile at the end.

So his total walking time is 128+3.2 = 131.2 minutes.

Let B = 131.2

-----------------------------------------------------

To wrap things up, we'll add up the results of each of the previous two sections.

A = total running time = 144 min

B = total walking time = 131.2 min

C = total marathon time

C = A+B

C = 144+131.2

C = 275.2 minutes

This converts to 275 min, 12 sec.

This is also equivalent to 4 hrs, 35 min, 12 sec.

You might be interested in
Jenny served one scoop of ice cream to her friends using a 3/4 cup scooper. She
Pepsi [2]

Answer:

75?

Step-by-step explanation:

1/4 = 25

25 x 3 =75

      ----

3/4=75

4 0
2 years ago
URGENT. <br>Q) 18, 19, 20
notsponge [240]
18. s = 5r^2 + 7......making r the subject
      s - 7 = 5r^2
      (s - 7) / 5 = r^2...by taking the sqrt of both sides, it eliminates the ^2
     ( sqrt (s-7)/5) = r

19. h = ut - 1/2gt^2....u = 100, t = 1 4/5(or 9/5)...g = 6.4
      h = (100)(9/5) - 1/2(6.4)(9/5^2)
      h = 180 - 1/2(6.4)(3.24)
      h = 180 - 3.2(3.24)
      h = 180 - 10.368
      h = 169.632 or 169 79/125

20. sorry..do not know this one
4 0
2 years ago
Read 2 more answers
Solve the inequality and write the solution in interval notation:<br> k/-12 ≤ 15.
natali 33 [55]
Remember when solving inequalities the sign of your inequality reverses when dividing or multiplying negative values. k/-12<15. k>-180 [-180, positive infinity)
5 0
2 years ago
1.) Max is driving 42 miles per hour. A dog dog runs into the street and max reacts in about three quarters of a second. What is
Nostrana [21]

Answer: 14.07\ m

Step-by-step explanation:

Given

Max is driving at a speed of 42\ mph

It took him three-quarters of a second i.e. 0.75\ s

Speed in meter per second is 18.77\ m/s

Distance is given by

d=v\times t

Reaction distance is

d=18.77\times 0.75=14.07\ m

5 0
3 years ago
Bro whats is 3,972 divde 12
leonid [27]

Answer:

The answer would be 331.

6 0
2 years ago
Other questions:
  • Boonk gang whole lotta
    5·2 answers
  • How to find range in a table
    9·1 answer
  • Use the Counting Principle to find the probability of choosing the 6 winning lottery numbers when the numbers are chosen at rand
    13·2 answers
  • The price of an item has been reduced by 55%. The original price was $53. what is the price now
    13·1 answer
  • What is the length of a rectangle whose perimeter is P, if the width is 6? please help asap!!
    12·1 answer
  • In the following equation, what is the y-intercept? y = -3.1 +7 03 o7​
    5·1 answer
  • Ryan sprinted 139 feet. How many yards did he sprint
    13·1 answer
  • Can someone tell me if I’m right?
    11·1 answer
  • 6. Brandom can swim 15 laps around the pool in 40 minute. Peter can swim 10 laps in 25 minutes.
    12·1 answer
  • Hello please answer this question if you have the time, thanks! :)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!