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
kakasveta [241]
3 years ago
10

The Cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 40mph and sh

e averages 80mph, how long will it take Mrs. Cunningham to overtake Mr. Cunningham?
Mathematics
1 answer:
svp [43]3 years ago
5 0
Recall your d = rt, distance = rate * time

now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.

However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Mr Cunningham}&d&40&t\\
\textit{Mrs Cunningham}&d&80&t-3
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=40t\\
d=80(t-3)\\
----------\\
\boxed{40t}=80(t-3)
\end{cases}
\\\\\\
\cfrac{40t}{80}=t-3\implies \cfrac{t}{2}=t-3\implies t=2t-6\implies 6=2t-t
\\\\\\
6=t
You might be interested in
Find the inverse of the function f(x)= 2x - 4 and show explain each step used to find the inverse.
Alla [95]
your answer is
f^-1(×)=2+×/2
3 0
3 years ago
7. John worked 32 hours last week and 28 hours this week. If he gets paid
AlladinOne [14]

Answer:

$630

Step-by-step explanation:

week 1 : $336

week 2 : $294

gross pay : $630

6 0
3 years ago
Elena is buying cups and plates for her party. Cups are sold in packs of 8 and plates are sold in packs of 6. She wants to have
Svet_ta [14]

Answer:

For 80 people, Elena would need

14 packs of plates and 10 packs of cups

She would have at least 80 of each.

I am not completely sure of this, sorry if wrong.

Step-by-step explanation:

80 people

8 cups per pack

6 plates per pack

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84

LCM (least common multiple) = 24

8 0
2 years ago
Read 2 more answers
A triangle has vertices at (3, 2), (-4,4), and (-2,5). What are the coordinates of the vertices of the image
MrMuchimi

Answer:

The triangle is translated 2 units down and 4 units to the right.

Step-by-step explanation:

7 0
3 years ago
Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
2 years ago
Other questions:
  • Who giving that Ash Kashhh on this app I need it​
    10·2 answers
  • Can concrete blocks be weighed with food scales
    8·2 answers
  • Which quantity is proportional to 45⁄3?
    8·1 answer
  • I need Help ASAP please
    6·1 answer
  • Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Ad
    9·2 answers
  • What is 64,569 rounded off to the nearest thousand
    12·1 answer
  • what is the perimeter, in centimeters, of a right triangle that has leg lengths of 8centimeters and 11 centimeters? round to the
    13·1 answer
  • *GEOMETRY*
    13·1 answer
  • The most expensive type of life insurance is
    12·1 answer
  • Please tell me how to get the answer I will give brainliest
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!