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
Ymorist [56]
3 years ago
8

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

ours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:


Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

t_{m}= time taken by motorcycle to travel distance between them

v_{m} = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

t_{m}= d/v_{m}

t_{m}=540/48

t_{m}= 11.25 h



t_{c}= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

v_{m} = speed of the motorcycle

speed of motorcycle is given as

v_{m} = d/t_{m}

v_{m} = 540/9

v_{m} = 60 mph


when the car and motorcycle move towards each other, the relative speed is given as

v = v_{m} + v_{c}

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

You might be interested in
There are 4 Russian dolls. The largest doll is 12 inches tall. The height of each of the other dolls is 7/10 the height of the n
fgiga [73]
X= 12(.7)^x(exponent)
x is the doll you are on. For example if your looking for the height of the height of the doll after the 12 in. one then x=2 and so on
4 0
3 years ago
Read 2 more answers
Please help me on this!!! I’d really appreciate it!!!
finlep [7]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
The figure shows two triangles on a coordinate grid:
Afina-wow [57]
IT IS CORRECT 5 UNIT DOWN TRANSLATION 180 DEGREE COUNTERCLOCKWISE ROTATION
3 0
3 years ago
Read 2 more answers
Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground
Scorpion4ik [409]

Answer:

125.4\ \text{m/s}

Step-by-step explanation:

u = Initial velocity of baseball

\theta = Angle of hit = 30^{\circ}

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

y_0 = Height of hit = 2.5 ft

a_y = g = Acceleration due to gravity = 32.2\ \text{ft/s}^2

t = Time taken

Displacement in x direction

x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}

Displacement in y direction

y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}

The minimum initial velocity needed for the ball to clear the fence is 125.4\ \text{m/s}

5 0
3 years ago
309x29show ur work <br> Mutiply by multi Digit Number
steposvetlana [31]
309× 29 = 8,961 is totally answer
7 0
3 years ago
Read 2 more answers
Other questions:
  • Mckenzie and Cara both tried to find the missing side of the right triangle. Is either of them correct? Explain your reasoning.
    11·1 answer
  • Give an example of a linear equation in one variable with no solution. Explain how you know it has no solution.
    7·2 answers
  • After 5 years, a $2,450 investment is worth $3,123.75 What is the simple annual interest rate for this investment?
    11·2 answers
  • find the set of five items of data that has a range of 9, a mean of 11, a meadian of 12, and a mode of 15.
    5·1 answer
  • Can anu one help me out
    5·2 answers
  • 1. Kelly is playing with her drone, which she got from Santa last Christmas. When she flies her
    10·1 answer
  • 16. What happens to the equation when y = x becomes y = x + 3? 915<br> 291051 wood to
    11·1 answer
  • Find the surface area of a cube with side base length 10m.
    12·1 answer
  • In the pair of supplementary angles shown below, the measure of the smaller angle is 36°.
    10·1 answer
  • NO LINKS!!!<br>Please help me with these <br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!