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
Yuki888 [10]
3 years ago
13

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi

ng north is riding 5 km/hour faster than the bicyclist heading south. At 10:45, they are 47.25 km apart. Find the two bicyclists’ rates.
Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

Between 9:00 am and 10:45 am, there have been 1 hour and 45 minutes or 1.75 hours have passed. Let x be the speed of the slower cyclist and x+ 5 be the rate of the second cyclist. The given situation is best represented through the equation below,

                                x(1.75) + (x + 5)(1.75) = 47.25 km

The value of x from the equation is 11. Thus, the two bicyclists' rates are 11 km/h and 16 km/h. 

Studentka2010 [4]3 years ago
8 0

Answer:

Cyclist A travels at 11 km/hr and cyclist B travels at 16 km/r

Step by step explanation:

The cyclist B is riding 5 km/hr faster than cyclist A. From 09:00  till 10:45 is 1 hour and 45 minutes. This is 60 plus 45 minutes:

=60+45=105

In 105 minutes they are 47.25 km apart. Let x be the speed of cyclist A and y be the speed of cyclist B. We can write x in terms of y:

y=x+5

We can write an expression relating the two cyclists to the total speed of the cyclists.

We know that in 105 minutes they are 47.25 km apart.

We can substitute the 47.25 km into the following expression:

47.25=(x)\cdot(105/60)+y\cdot{105/60}

47.25=(x)\cdot(1.75)+(x+5)\cdot{1.75}

Solve for x

47.25/1.75=2x+5

22/2=x

x=11

Therefore y is:

y=11+5=16

Cyclist A travels at 11 km/hr and cyclist B travels at 16km/r

You might be interested in
Solve for x.<br> -15x + 60 ≤ 105 AND 14x + 11 ≤ -31
givi [52]

Answer:

  1. x ≥ -3
  2. x ≥ -3

Step-by-step explanation:

-15x + 60 ≤ 105

-15x ≤ 45

x ≥ -3

14x + 11 ≤ -31

14x ≤ -42

x ≥ -3

Best of Luck!

7 0
3 years ago
Read 2 more answers
Cedric can swim a lap in 23 and 3/5 seconds. Jason can swim a lap in21.4 seconds. How much faster can Jason swim in a lap than C
Setler79 [48]
Jason swims 2.2 seconds faster than cedric
6 0
3 years ago
Read 2 more answers
The simplest radical form of the radicand 32
diamong [38]
Your answer is 4 radical 2.
5 0
3 years ago
Ryan has 25 tiles and 12% of them are green. how many tiles are green
Lady_Fox [76]

Answer:

208.33. this is it your welcome

6 0
3 years ago
Find the area and thank
Y_Kistochka [10]

Answer:

40 meters

Step-by-step explanation:

Same premise as the other question. 12 ÷ 2 = 6 (for the double dashes) and 8 ÷ 2 = 4 (for the single dashes). Add all the numbers up:

12+8+6+6+4+4=40

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find the maximum value of C=3x+2y
    6·1 answer
  • 216 to the power of 1/3 × 26 to the power of 4 × 39 to the power of 4 ÷ ( 12 to the power of 4 × 3 ×2 to the power of -3)= 13 to
    14·1 answer
  • A store is having a sale where movies are 15% off their original price. A movies is on sale for $22.10. What was original price?
    10·1 answer
  • Barbara claims that her horse can do simple addition problems. She showed her horse eight different cards with simple addition p
    10·2 answers
  • What is the surface area of the triangles prism?? 13 points please give the right answer
    15·1 answer
  • During the basket ball season, morgan made 3 times as many 2 point baskets as she made 3 point baskets and free throws combined.
    15·2 answers
  • Is this correct, i did 21.5 times 33.6 and converted it to yards to the nearest tenth and i got 80.3
    12·2 answers
  • I’ll give brainliest
    5·1 answer
  • here are the score that Jenna has received on her seven quizzes 16 13 20 16 12 17 18 what is the mean
    14·1 answer
  • The tree diagram represents an experiment consisting of two trials. ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!