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
Lena [83]
2 years ago
12

Ben and Landon took turns driving on a 820 mile road trip. Ben averaged 60 miles per hour and Landon averaged 56 miles per hour.

The trip took them 14 hours. How many hours did Landon drive?
Mathematics
2 answers:
SashulF [63]2 years ago
4 0

<u>Answer</u>:

See below!

<u>Explanation</u>:

  • distance = speed * time
  • speed = distance/time
  • time = distance/speed

<u>equation for distance</u>:

Lets Ben hours be x and Landon hours be y,

60x + 56y = 820 .........equation 1

<u>equation for time</u>:

\frac{60x}{60}+ \frac{56x}{56}  =14

x + y = 14 .........equation 2

Make x the subject:

60x + 56y = 820

x = (820 - 56y)/60 ..........equation 3

x + y = 14

x = 14 - y ........equation 4

Solve equation 3 and 4 simultaneously:

  • 14 - y =  (820 - 56y)/60
  • 60(14 - y) = 820 - 56y
  • 840 - 60y = 820 -56y
  • 840 - 820 = -56y + 60y
  • 20 = 4y
  • y = 5

             [ Therefore Landon drove 5 hours ]

Extra's further investigated:

if y = 5

  • x = 14 - y
  • x = 14 - 5
  • x = 9

              [ Therefore Ben drove 9 hours ]

stealth61 [152]2 years ago
4 0

Answer:

Landon drove 5 hours (and Ben drove 9 hours)

Step-by-step explanation:

Let B = number of miles Ben drove

Let L = number of miles Landon drove

Given The trip took them 14 hours

⇒ B + L = 14

Given, Ben averaged 60 miles per hour and Landon averaged 56 miles per hour. Ben and Landon took turns driving on a 820 mile road trip:

⇒ 60B + 56L = 820

Rewrite B + L = 14 to make B the subject, substitute into 60B + 56L = 820, and solve for L:

⇒ B = 14 - L

⇒ 60(14 - L) + 56L = 820

⇒ 840 - 60L + 56L = 820

⇒ 20 = 4L

⇒ L = 5

Therefore, Landon drove for 5 hours

You might be interested in
In the 2010 Winter Olympics, the American speed skater Apolo Ohno won the silver medal in the 1,500 meter race. How many kilomet
bogdanovich [222]
1000 meters= 1 kilometer so your answer is 1.5 kilometers
5 0
3 years ago
Read 2 more answers
I need an answer . plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
bonufazy [111]
The unsimplified answer is 15/50. The answer simplified is 3/10.
equation/how to solve=
there are 50 circus performers total. (15 magicians + 35 performers) so that would be 15 magiciand over 50 performers (15/50)
to simplify... 5 goes into 15 3 times, and 5 goes into 50 ten times. (3/10)
Hope this helped you out!
6 0
3 years ago
Read 2 more answers
PLEASE HELP QUICKLY!!! There is a tree standing in the desert; the sun is rising to the east.
a_sh-v [17]
A. As sun peeks, it creates a straight line- sun to tree to shadow, angle=180°
b. During morning, the sun-tree-shadow changes from 180° to 90°, during noon, angle =90°.During sunset the angle changes from 90 to 0°.
c. Acute angles created in afternoon.
d. A right angle would be created at noon.
e. Obtuse angle would be created in morning.
f. Yes, a straight angle would be created at sunrise.
g. When sun is at mid-morning, the angle=45°+90°= 135°
4 0
3 years ago
Which line is it? help asap
ki77a [65]
The correct answer is line q
8 0
3 years ago
Read 2 more answers
The high temperature was 92 degrees. This was 24 degrees higher than the overnight low temperature. Write an equation to determi
Romashka-Z-Leto [24]
L = H - 24
L = low temperature.
H = High Temperature = 92 degrees
L = 92 - 24
L = 68
8 0
3 years ago
Read 2 more answers
Other questions:
  • How many different ways can the letters of "barrette" be arranged?
    8·1 answer
  • You drive 351.6 miles using 16.4 gallons of gasoline. At this rate, how many gallons of gasoline would you need to drive 1000 mi
    8·1 answer
  • si en la caja solo cabe media docena de platos, ¿ cuantas cajas serían necesarias para empacar la cantidad inicial de platos ?​
    10·1 answer
  • Need help with the problems circled in green<br> due today!!
    5·1 answer
  • Last year a winter coat cost $175. This year the price increased 15%. What is the new price?
    9·1 answer
  • Factoring trinomials 5r^2-8r+40​
    14·1 answer
  • What represents the quantitative forecast
    12·1 answer
  • Solve: 2y + 7 = 11<br><br>PLS HELP ASAP​
    9·1 answer
  • Need help with this please
    6·1 answer
  • In this exercise, you'll use the formula for the probability of the complement of an event. another game you’ve set up at casino
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!