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
jeka94
3 years ago
13

You and your friend live 12 miles apart. you leave home at the same time and travel ttoward eacth other.you walk at the rate of

4 miles per hour and your friend bycicles at a rate of 11 mile per hour. how long after you leave home will you meet? how far from home will each of you be
Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Step 1: Assign variable for the unknown that  you need to find.

d_w \; \rightarrow \; Distance \; you \; traveled \; by \; walk \; in \; miles \\ d_c \; \rightarrow \; Distance \; traveled \; by \; your \; friend \; using \; bicycle \; in \; miles  \\ t \; \rightarrow \; Time \; Taken \; in \; hours

Step 2: List the given details

Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours

Equation 1:

d_w+d_c=12

Your Walking rate and your friends Cycling rate is given below:

r_w=4mph\\r_c=11mph

Step 3: Set up an equation using the relationship between distance, time and rate.

Distance=Rate \times Time

d_w=r_w \times t=4t \\\\ d_c = r_c \times t = 11t

Substituting the above in equation 1

4t+11t=12 \\ Combining \; Like \; Terms \\\\ 15t=12 \\ Dividing \; 15 \; on \; both \; sides \\\\ 15t \div 15=12 \div 15 \\\\ t=0.8 hours

Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:

d_w=4t=4(0.8)=3.2miles \\\\ d_c=11t=11(0.8)=8.8miles

You might be interested in
Help me please!!❤️❤️
barxatty [35]

Answer:

4(x^2)(y^0)

Step-by-step explanation:

or 4(x^2) either one should be correct

8 0
3 years ago
The work of a student to find the dimensions of a rectangle of area 6 + 8x and width 2 is shown below:
tatiyna
Answer:
Step 2; 2(3) = 2(4x)
5 0
3 years ago
Read 2 more answers
2
8090 [49]
They each get 14 cents,
A quarter = 25c
A nickel = 5c
A dime = 10c
2 pennies = 2c

25 + 5 + 10 + 2 = 42c

42 divided by 3 is 14 cents
So Willie, Donald and Maya get 14 cents each
5 0
2 years ago
Calvin Butterball is driving along the highway. He starts up a long, straight hill. 114 meters from the bottom of the hill Calvi
lbvjy [14]
The answer is 6hours in 122 minutes do umknow
4 0
3 years ago
What is Mathematics?
storchak [24]

Answer:

Hey mate here's your answer.....

Step-by-step explanation:

Mathematics is a subject where you study more about numbers and daily life applications.

hope its helps you,

follow me....

8 0
2 years ago
Read 2 more answers
Other questions:
  • If a 100-pound block of ice is placed on an inclined plane that makes an angle of 35° with the horizontal, how much friction for
    5·1 answer
  • 6
    14·1 answer
  • Is my answer right ?
    9·1 answer
  • 6. Given: 9x^3 – 3x^2 + 2x^4 – 7x – 10
    9·1 answer
  • Why did the colonists fight the British?
    14·2 answers
  • Please answer with steps!
    13·1 answer
  • 765 millimeters of rain fell in 45 minutes. What is the unit rate for millimeters per minute?
    9·1 answer
  • if you randomly choose a number 1-10 what is the probability of choosing either an odd number or an even number
    8·1 answer
  • An airline reports that 85% of its flights arrive on time. To find the probability that its next four flights into LaGuardia Air
    6·1 answer
  • What is the slope of a line that is parallel to the line y= 3/4 x + 2?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!