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
ale4655 [162]
2 years ago
14

A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f

ind the speed of the car and the speed of the motorcycle.
Mathematics
1 answer:
dimaraw [331]2 years ago
3 0

Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

x = y + 10 - - -- - - 1

Time taken for car to travel 312 miles is distance /speed = 312/x

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

y = 272x/312

Substituting y = 272x/312 into equation 1, it becomes

x = 272x/312 + 10

312x = 272x + 3120

312x-272x = 3120

40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

You might be interested in
I need the answer ASAP please
Nastasia [14]

Answer:

9 - 3=6

Step-by-step explanation:

7 0
2 years ago
A clothing store is selling a shirt for a discounted price of $43.61. If the discount is 11%, what was the original price, in do
svet-max [94.6K]

Answer:

$49

Step-by-step explanation:

Given that the discounted price is $43.61 and this was at an 11% discount

hence the discounted price represents 100% - 11% = 89% of the original price.

if:

89% of original price = $43.61

1% of original price = $(43.61 / 89)

100% of original price = $(43.61 / 89) x 100 = $49

4 0
3 years ago
Read 2 more answers
The point (–7, –3) is located in which quadrant?
andrezito [222]
Quadrant 3 is the answer
7 0
3 years ago
Read 2 more answers
Explain why x^2 = -81 does not have a solution.
Evgesh-ka [11]

Remember, the graph of a line represents every point that is a possible solution for the equation of that line. So when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. When the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system. When the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution.

<span> </span>

6 0
3 years ago
Johnny Awesome and his band is raising money to save the world. He is having a concert and charging
Andre45 [30]

Answer:

9375

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • PLEASE HELP WILL GIVE BRAINIEST AND A THANKS!!!!!<br><br><br> Write the equation of the line.
    12·1 answer
  • Solve for x. 6x−2/4=x−2 Enter your answer in the box. x =
    13·2 answers
  • Y-3=-3y-43 how would i solve?​
    6·1 answer
  • Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s
    12·1 answer
  • Please help me please
    12·1 answer
  • Someone help please.
    15·1 answer
  • Hey so im borreeeeeeeeeeeeeeddddddddddd
    11·2 answers
  • Help please !/!/!/!/!/!/!/!/
    8·2 answers
  • HELP ME NOW PLEASE, IM BEGGING.
    9·2 answers
  • P
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!