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
irina [24]
3 years ago
10

A round trip from Montreal to LA is 2,688 miles and takes an airline 9 hours and 20 minutes. Given the outbound trip is the same

distance as the return trip, and the speed of the plane was 25%faster on the return trip, how long did the return trip take? Answer to the nearest minute. ​
Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

4.074 hours

Step-by-step explanation:

r =

The formula for speed = Distance × Time

Hence,

Let the outbound speed = r

return trip speed = r + 25x/100 = 125r/100 = 1.25r

Note that: 9 hours and 20 minutes = 9.167

Let t1 and t2 be the time taken to travel on way and return journey.

t1 + t2 = 9 hr 10 min = 9.167 hrs

Hence:

2688/r + 2688/1.25r = 9.167

LCM(1.25r)

(2688 × 1.25) + 2688 /1.25r= 9.167

3360 + 2688 = 9.167 × 1.25r

6048 = 11.45875r

r = 6048/11.45875

Outbound trip rl = 527.8062615904876mph

Return trip speed = r + 25x/100 = 125r/100 = 1.25r

= 1.25 ×

659.75782699mph

Time for return trip = Distance/Speed

= 2,688 miles/659.75782699mph/

= 4.0742222222 hours

Approximately = 4.074 hours

You might be interested in
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
Nitella [24]

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

h=-16t^2 + 36t + 10 ......(1)

Part (a) :

The maximum height reached by the ball is given by :

\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m

7 0
3 years ago
the height of a triangle is 7 cm longer than its base. The area of the triangle is 60 cm². What is the base of the triangle?
Digiron [165]
Base is 8cm, and height is 15 cm
4 0
2 years ago
Read 2 more answers
This is an equation that indicates how the variables are related to one another.
Misha Larkins [42]
Yes if they relate to one another using an = sign
7 0
3 years ago
Question 1
storchak [24]

Answer:

(0,-3)

Step-by-step explanation:

To find the point of intersection for the two lines, we solve the two equations simultaneously

x=0, y=-3x=0  y=-3

4 0
3 years ago
Read 2 more answers
What are the Terms for 8x+6
densk [106]

Answer:Simplifying

8x + 6

Reorder the terms:

6 + 8x

Factor out the Greatest Common Factor (GCF), '2'.

2(3 + 4x)

Final result:

2(3 + 4x)

6 0
3 years ago
Other questions:
  • Sketch the following to help answer the question. Kite WXYZ has a short diagonal of XZ and a long diagonal of WY. The diagonals
    12·2 answers
  • 1.Points A and B are to be mapped onto a number line according to two equations. The solution to the equation is the coordinate
    14·2 answers
  • What is 7,298,341 rounded to the nearest 10000
    5·2 answers
  • Last year, Nick rode his bicycle a total of 8000 miles. To the
    10·1 answer
  • !!PLEASE HELP!! Sheri’s age in 20 years time will be the same as Terry’s age is now. Ten years from now, Terry’s age will be twi
    9·2 answers
  • Can you guys help me?
    7·2 answers
  • I NEED THE NOE HURRY!!!!!!! i will mark u Brainliest
    12·1 answer
  • I bought a used,beat up car for $2000.i rebuilt it.
    14·1 answer
  • Order the numbers from least to greatest.<br> = –1.5<br> - (-2)<br> 2.5<br> 8/3<br><br> HELPP
    12·2 answers
  • Find the equation of the line passing through the point (-4, 4) and is perpendicular to the line y = 2x - 5.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!