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
r-ruslan [8.4K]
3 years ago
6

RSM QUESTION NEED HELP!!!!!! A biker traveling at his usual speed can go from his house to work in 4 hours. When the weather is

bad, he travels 6 miles per hour slower, and it takes him half an hour more. How far is his work from his house?
Mathematics
1 answer:
kogti [31]3 years ago
3 0
<h3>Answer:   216 miles</h3>

=======================================

Work Shown:

d = distance from work to his house

x = speed when weather is good

y = speed when weather is bad

y = x-6 since he travels 6 mph slower

------------------------

On a good weather day, he travels for 4 hours and goes at x mph

distance = rate*time

d = r*t

d = x*4

d = 4x

----------------------

On a bad weather day, he travels 4.5 hours (half hour more than 4 hrs) and goes at y = x-6 mph

d = r*t

d = y*4.5

d = 4.5y

d = 4.5(x-6) .... replace y with x-6

d = 4.5x-27 .... distribute

----------------------

The values of d for both equations are the same, as the biker is traveling the same distance. So we can equate the two right hand sides (RHS) and solve for x.

4.5x-27 = 4x

4.5x-4x = 27

0.5x = 27

x = 27/0.5

x = 54

The biker's speed on a good weather day is 54 mph.

A bad weather day's speed would be y = x-6 = 54 - 6 = 48 mph.

----------------------

Now compute the value of d

d = 4x

d = 4*54

d = 216

The biker travels 216 miles on a good weather day

or,

d = 4.5*y

d = 4.5*48

d = 216

the biker travels that same distance on a bad weather day.

You might be interested in
The winning average speed for the 2014 Daytona 500 was recorded at 145.29 miles per hour which is a correct description of 145.2
vichka [17]
Just answered this one. It was D.
4 0
3 years ago
A number cube with sides labeled 1 through 6 is rolled two times, and the sum of the numbers that end face up is calculated. Wha
Orlov [11]
Desirable outcomes are 1,2 or 2,1

total outcomes are 6*6=36

so, P=2/36=1/18
5 0
3 years ago
The temperature is 9 degrees below zero
hodyreva [135]
0-9=-9

Hope this helped☺☺
7 0
3 years ago
WHO CAN HELP ME ITS DUE IN 5 minutes!
Flura [38]

We have to find b first: 3 = -3/2(10)+b3 = -15+b18 = bNow right the equation, your slope will be the same one....Y = -3/2x + 18

More

8 0
3 years ago
Tessa bought stock in a restaurant for $277.00. Her stock is now worth $346.25. What is the percentage increase of the value of
FrozenT [24]

Answer:

125%

Step-by-step explanation:

Divide 346.25 by 277

you get 1.25

multiply it by 100

7 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with all three please help!
    5·2 answers
  • Do not answer until you see an image.
    11·1 answer
  • The answer I’m soo confused
    9·1 answer
  • The number 0.4 can be written as 4/10 so it is a rational number.
    13·1 answer
  • The histogram shows the ages of all the workers in a London office. Given that 24 people are in the 40-55 age range, work out th
    11·1 answer
  • Which expression is equivalent to 9–2?
    9·2 answers
  • (NO LINKS)
    15·1 answer
  • If this trapezoid is moved through the translation (x+1, y-3) what will the coordinates of C' be?
    15·1 answer
  • what is the exact value of cos(c+d), given sin c=24/25 for c in quadrant 2 and cos d=-3/4 for d in quadrant 3
    10·1 answer
  • What will the volume of the box be if you cut 1 inch by 1 inch squares out of each corner (Notice that you have to subtract 1 in
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!