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
madreJ [45]
3 years ago
9

Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at 9:35 a.m.

and runs at an average rate of 7 miles per hour. Ji-Hun starts at 10:00 a.m. and runs at an average rate of 8 mph. Assuming constant paces and no stops, in how many miles will Ji-Hun catch up to Kana?
Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.

Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

=> d = s * t

Therefore, for Kana:

d = 7 * t = 7t _____________(1)

Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

d = 8 * (t - 0.42)

=> d = 8t - 3.36 ____________(2)

Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

t = 3.36 hours

Therefore, let us find d:

d = 7 * 3.36 = 23.52 miles

So, Ji-Hun will catch up to Kana after 23.52 miles.

You might be interested in
Consider the derivation of the quadratic formula below. What is the missing radicand in Step 6?
notka56 [123]
The correct answer is d
3 0
3 years ago
Manuel noticed that his cellphone bill reflected a monthly fee of
Tomtit [17]

Answer: (total amount paid - $40) / 0.05

Step-by-step explanation:

Given the following :

Monthly fee = $40

Additional fee = $0.05 per minute on phone

Given the the amount paid for the month is available, number of minutes he was on phone can be determined thus :

Total amount to be paid = monthly fee + additional fee

Additional fee = $0.05 × n

Where n = number of minutes on phone

Hence,

Total amount paid = $40 + $0.05n

If the amount paid is known, the number of minutes on phone can be calculated thus;

(Total amount paid - monthly fee) = $0.05n

n = (Total amount paid - monthly fee) / fee per minute on phone

(total amount paid - $40) / 0.05

3 0
3 years ago
If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must th
SVEN [57.7K]
24 feet long :)
All I did was I divided the 36 into 3 equal parts of 12, then doubled the 12 to make that longer piece 24 feet. This 24 foot piece would be twice as long as the other leftover 12 foot piece since 12x2=24
4 0
3 years ago
Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2
castortr0y [4]

Answer: -x^2 + 15x

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The perimeter of a rectangular room is 24 meters.The width of the room is 4 meters. Find the length of the room.
Basile [38]

Answer:

20 metes

Step-by-step explanation:

:)

7 0
3 years ago
Other questions:
  • The sum of 8 and a certain number is equal to the product of the number and 3 find the number​
    15·1 answer
  • PLS HELP Use the divisibility rules to determine which of the following numbers 315 is divisible by.(Check all that apply.) 2 3
    7·1 answer
  • If 24 pencils cost $1.20 then how much does one pencil cost?
    6·2 answers
  • If a company has 150 shares of common stock and $15000.00 to be distributed to its holders, how much each share receive
    15·2 answers
  • Suppose that XNY are in rational numbers such that x>y. Which of the following inequalities must be true
    8·1 answer
  • There were d passengers in the train. 15% of all of them went in the first car, 20% went in the second car. How many passengers
    9·1 answer
  • 5/-6+10i what is the answer to this
    14·1 answer
  • Find the slope (2, -1) (6, 1)
    15·2 answers
  • PLS HELP IM FAILING MY MATH CLASS
    9·1 answer
  • If line segment AB represents ​%, what is the length of a line segment that is​ 100%?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!