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
Margaret [11]
3 years ago
10

In a large marathon, runners start the race in stages. Leanna started in group E and ran at a rate of 4.8 miles per hour. During

the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes after Leanna started. How far did Leanna run before she was passed by Irina?
Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer: Leanna ran 39.96 miles before she was passed by Irina.

Step-by-step explanation:

When Irina would pass Leanna, they would have ran the same distance.

Let t represent the time that Leanna ran before she was passed by Irina.

Distance = speed × time

Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is

4.8 × t = 4.8t

During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes(20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is

t - 0.333

Distance ran by Irina is

5(t - 0.333) = 5t - 1.665

Since they ran the same distance, then

4.8t = 5t - 1.665

5t - 4.8t = 1.665

0.2t = 1.665

t = 1.665/0.2 = 8.325 hours

Therefore, the distance that Leanna ran before she was passed by Irina is

4.8 × 8.325 = 39.96 miles

You might be interested in
james ran 25/100 of a mile yesterday and his friend Natasha ran 4/10 of a mile. who ran farther and how do u know​
Elanso [62]

Answer: Natasha ran further

Step-by-step explanation:

1. Simplify both fractions into a common denominator:

25/100 and 40/100

2. Compare:

40/100 > 25/100

3. Answer:

Natsha ran further

Have a nice day! :D

7 0
2 years ago
Read 2 more answers
Mr.davis, the volleyball coach, has 7 outstanding players. He will draw one name out of a jar to decide who stays on the bench.
Katen [24]

Answer:

7/1

Step-by-step explanation:

There are 7 players if the coach randomly draws a name that determines who stays on the bench there is a 1/7 chance Brianna will stay on the bench because there are 7 people and Brianna is 1  of them

5 0
3 years ago
Which expression is equivalent to √2/ 3√2 ?
NikAS [45]

You can factor out the square root of two from the num and denom of this fraction leaving you with 1/3 or 1.33

3 0
3 years ago
Read 2 more answers
Given that ABC is similar to DEF, solve for x.
Zina [86]
Can't without a picture :/
7 0
3 years ago
Read 2 more answers
What is the equation in slope-intercept form of a line that has a slope of -- and a y-intercept of 6?
Elza [17]

Answer:

a

Step-by-step explanation:

I fits the graph that is described

5 0
3 years ago
Other questions:
  • How do you convert 65 degrees Fahrenheit to Celsius?
    12·2 answers
  • A store gets a delivery of 347 boxes. The manager organizes all the boxes by putting 72 boxes in each of the store's warehouses
    9·1 answer
  • What is a difference of squares with a factor of (3x + 7) ?
    6·1 answer
  • The names of all 135 students in a professor's class are written on identical slips of paper, and the slips are placed into a la
    15·1 answer
  • You have $576 in your checking account. Your cell phone company deducts $32 each month from your account. If you do not put any
    9·2 answers
  • List all the positive factors of the number
    6·1 answer
  • Alone, Brenda can dig a ditch in 5 hours. If Jack helps her, the two of them can dig
    15·1 answer
  • Apply the distributive property to the expression 24x + 18y to produce the equivalent expression.
    15·1 answer
  • Find the lateral area and surface area of a cone with a radius of 12 and a height of 21
    10·2 answers
  • Does the domain of the function f(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7B1%2Bx%7D" id="TexFormula1" title="\sqrt{1+x}"
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!