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
never [62]
3 years ago
9

A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 m

ph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.
Mathematics
2 answers:
Alisiya [41]3 years ago
5 0

Step-by-step explanation:

1. Let our Motorcycle variable=X

We know that it travels twice the speed so it's 2M

We also know that the car is 30 mph slower

so our equation is : 2x-30

2. As we're finding speed we will be using the equation: speed=distance X time

So: it also says that we need to find the speed after 2 hours

So by adding in 2 this will be: 2(2x-30)

3. The question also stated that it'll be 20mph ahead (car)

So the equation which we can work out now is

2(2x-30)= 2x+20

4. <u>We can find X</u>

2(2x-30)=2x+20 (Multiply out brackets)

4x-60=2M+20 (Subtract 2M as it's less than 4M)

2x-60=20 (Add 60 as we need to find M)

2x=80 (Divide by 2 as 80 is multiple of 2)

x=40 mph

So, x=40 mph

5. <u>Find the speed of the car and motorcycle</u>

Motorcycle: 40 mph

Car: By using 2x-30

Substitute the 40 with the 2

So, 2*40 is 180

180-30 = 50 mph

Hence, the car is 50 mph and the motorcycle speed is 40 mph

Hope this helps!!!

Have a nice day :)

brilliants [131]3 years ago
3 0

Answer:

30 i am not sure if it is correct

Step-by-step explanation:

30-2=10

20+10=30

You might be interested in
An experiment consists of drawing 1 card from a standard​ 52-card deck. let e be the event that card drawn is a 33. find​ p(e).
Dafna1 [17]

1 out of 52. So 1/52 equals some decimal. Plug in calc.

4 0
3 years ago
Debra walked her dog to the south. They walked 50 meters in 150 seconds.
abruzzese [7]

Answer:

B

Step-by-step explanation:

Because... 150 divided by 50 = 3

:)

4 0
3 years ago
Whats 10x + 12=82 I need help with my math.
bonufazy [111]

Answer:

7

Step-by-step explanation:


8 0
3 years ago
Which of the following models the context "A plumber who charges $50 for a
rjkz [21]

Answer:

a. y = 85x + 50

Step-by-step explanation:

a. y = 85x + 50

7 0
2 years ago
Write a real word problem with 8x=96
Shtirlitz [24]

Answer:

You are at a store and you are want to buy a books for school. One book cost $8 and you were given a total of $96. What is the maximum amount of books can you buy.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • How do i answer 1-4?
    8·2 answers
  • Hasil dari (-14) x 3 - 24 : (-6) adalah<br> a.-46<br> b.-38<br> c.38<br> d.42
    12·1 answer
  • Given data on shoulder girth and height of a group of individuals. The mean shoulder girth is 107.20 cm with a standard deviatio
    12·1 answer
  • Whats 5 plus 39 minus 44​
    9·2 answers
  • Factor the expression using the GFC 8 - 22a
    7·1 answer
  • `ANSWER ASAP GIVING BRAILIEST AND STUFF!
    8·2 answers
  • 2+2=?
    14·1 answer
  • Help with my math please
    13·1 answer
  • The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going t
    6·1 answer
  • In a group of 42 students, 9 study both Art and Biology.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!