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
SCORPION-xisa [38]
3 years ago
5

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 6 km/hour faster than the bicyclist heading south. At 10:15, they are 42.5 km apart. Find the two bicyclists’ rates.
Mathematics
1 answer:
Viktor [21]3 years ago
3 0

Answer: The rates of bicyclists of north and south are  20km/hr and 14km/hr respectively.

Step-by-step explanation:

Since we have given that

Let the speed of bicyclist heading south be 'x'.

Let the speed of bicyclist heading north be 'x+6'.

Since they are moving in opposite directions,

So, relative speed = x+x+6=2x+6

Time taken = 10: 15 to 9:00 = 1 hour 15 minutes = 1\dfrac{15}{60}=1\dfrac{1}{4}=\dfrac{5}{4}

Distance between them = 42.5 km

According to question, it becomes,

\dfrac{Distance}{time}=Speed\\\\\dfrac{42.5}{\dfrac{5}{4}}=2x+6\\\\42.5=\dfrac{5}{4}(2x+6)\\\\4\times 42.5=5(2x+6)=10x+30\\\\170=10x+30\\\\170-30=10x\\\\140=10x\\\\x=\dfrac{140}{10}\\\\x=14\ km/hr

Speed of bicyclist heading north would be 14+6=20 km/hr

So, the rates of bicyclists of north and south are  20km/hr and 14km/hr respectively.

You might be interested in
What is the length of the hypotenuse? 24 42
AleksAgata [21]

Answer:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem or a^2+b^2=c^2.

(24)^2+(42)^2=2340

Step-by-step explanation:

Are the 24 and 42 squared already or no just let me know if they are squared then I'll change my answer okay  

7 0
3 years ago
Read 2 more answers
Help plsssssssss <\3
kvv77 [185]

Answer:

7

Step-by-step explanation:

\frac{5}{5}  + 6 = 1 + 6

To solve this you just have to replace the letters with the corresponding numbers. 5/5 = 1 and 1+6 = 7

So your answer is 7!

7 0
2 years ago
5. What is the graph of the equation?<br> -5x + y=-3
Mariulka [41]

Answer:

Plot y=5x-3

Step-by-step explanation:

6 0
3 years ago
Drove that<br>sinA+ sin5=2 sin A +5/2 COSA -5/2​
const2013 [10]
Put it in a more simplified form
6 0
2 years ago
explain how mid-nineteenth-century American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art

8 0
2 years ago
Other questions:
  • It costs $7.00 to purchase a
    10·2 answers
  • Trevor tutors French for $12 an hour and scoops ice cream for $8 an hour. He is going to work 20 hours this week. At least how m
    9·1 answer
  • At a college, 71% of courses have final exams and 43% of courses require research papers. Suppose that 26% of courses have a res
    12·1 answer
  • Expanded form for 24.76
    13·2 answers
  • (3 - (m – p)) = 3; use m = 4, and p = 4<br> Evaluate using the values given
    5·2 answers
  • Check attachment below
    11·1 answer
  • Answer if u actually know it only!!
    11·2 answers
  • Becky read 10 books in 4 days.Sarah reads 50 books in 20 days. Are the two girls reading at the same rate
    7·1 answer
  • PLEASE ANSWER THE SECOND QUESTION!!!
    6·2 answers
  • The density of a certain material is such that it weighs 9 kilograms for every 7 cubic feet of volume. Express this density in p
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!