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
raketka [301]
3 years ago
8

A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcycli

st stops a half an hour lunch. To reach City B on time, the motorcyclist increases his speed after lunch by 10km/hour. Find the motorcyclists original speed
Mathematics
2 answers:
rewona [7]3 years ago
5 0

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

Rudiy273 years ago
4 0

Answer:50km hope that helped pls mark me brainliest :))

You might be interested in
Wilmer already has 214 cards. he needs to collect 334 cards. he plans to collect 8 cards each day. find the minimum number of da
Wittaler [7]
The answer is 15 days.

The first step you need to take is to subtract the amount of cards he has from the amount of cards he needs. So 334 (needs) - 214(has) = 120 cards he still needs. So he is collecting 8 cards a day. In order to find out how many days it will take to collect the 120 cards, we need to divide 120 by 8. 120 divided by 8 is 15. So it will take 15 days collecting 8 cards a day in order to reach the 120 cards he still needs to collect.
3 0
3 years ago
Function 1: y = 4x + 5
vlabodo [156]
Y=mx+b
m=slope

given
y=4x+5
m=4=slope

2.
for the points (x1,y1) and (x2,y2), the slope of the line passing trhough those points is (y2-y1)/(x2-x1)
given
(1,6) and (3,10)
slope=(10-6)/(3-1)=4/2=2


function 1 slope is 4
function 2 slope is 2
4>2

the first one has greater rate of change
6 0
3 years ago
Read 2 more answers
Mr. Adamak earns a gross salary of $72,425. He
Mnenie [13.5K]

Answer:

$4345.5

Step-by-step explanation:

Income tax is 6% of total income. His income is $72425 so 6% (0.06) of $72425 is

$72425* 0.06= $4345.5

8 0
3 years ago
PLEASE HELP!
erica [24]

The correct next step that Cynthia should do is to:

D. use the arc markings to determine the radius to construct the circle

<span>The arc markings are actually used as the baseline in determining the center and the radius of the circle. The arc markings are created with the use of a compass. All other choices are completely irrelevant because what we need is the arc and not the angles. The angles do not create the circle. Letter C is also wrong because what we are trying to form is the circle and not the triangle. The triangle is already created.</span>

4 0
3 years ago
Use the markings in the image to answer the following questions (drawing not to scale):
katrin [286]

First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.


a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.


b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that b=\sqrt{31.2^{2}-12^{2}} = 28.8. According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.


c. We already gave the answer for this question in part b


8 0
3 years ago
Other questions:
  • 3. A team of eye surgeons has developed a new technique for a risky eye operation to restore the
    11·1 answer
  • The steps below show the incomplete solution to find the value of x for the
    10·1 answer
  • What is the median of the data 234, 355, 470, 476, and 765?
    7·2 answers
  • Simplify the Matrix Operation <br> 4[-4 5 -6]
    14·1 answer
  • Can anyone pls help me in dis pls
    10·1 answer
  • 12 divided 934.8 and have fun
    13·2 answers
  • Drop me a workout routine that i can do in my room . LOL
    7·2 answers
  • Help plzzzz it’s a timed test
    6·1 answer
  • Solve for m.<br> m/-3 = 7
    5·1 answer
  • PLEASE HELP WITH THIS
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!