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
Doss [256]
3 years ago
9

A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and

crawls the second, it takes 110 seconds. If it crawls the first part and walks the second, it takes 100 seconds. Find the lengths of the two parts of the journey.
Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

You might be interested in
Suppose an online auction website has roughly 500,000 users, and as each member signs up for an account,he or she is assigned a
julsineya [31]
D. Surveying every 500th number
7 0
3 years ago
Read 2 more answers
5. Write each number in another form.
sukhopar [10]
Your answer would be c
7 0
3 years ago
Given the function h(x), determine the functions which correctly decompose h(x) into component functions f(x) and g(x) so that h
nataly862011 [7]

\text{Hi there! :)}

\large\boxed{g(x) = 7x + 2\text{ , } f(x) = \sqrt{x}  - 10}

\text{h(x) = f(g(x)), so determine what g(x) was substituted into f(x):}\\\\\text{Given the equation } h(x) = \sqrt{7x +2}- 10:\\\\\text{In the part of the equation with a variable, we see that "7x + 2" is in a square root:}

\text{Therefore, we can say that g(x) = 7x + 2:}\\\\\text{If h(x) = f(7x + 2), then f(x) must be:}\\\\f(x) = \sqrt{x} - 10

\text{The respective functions would be:}\\\\g(x) = 7x + 2\\\\f(x) = \sqrt{x}  - 10

7 0
3 years ago
Please help! <br> (sorry about the cracks in my ipad)
Talja [164]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In circle O, BC=14 and DC=25. What is the length of diameter BA? -58.6 -12.2 -44.6 -30.6
Savatey [412]
The picture in the attached figure

we know that
If a tangent segment and a secant segment are drawn to a <span>circle </span><span>from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
</span>so
DC²=BC*CA-----> CA=DC²/BC
DC=25
BC=14
CA=25²/14-----> CA=44.64
CA=BC+BA----> BA=CA-BC----> BA=44.64-14----> BA=30.64

BA is the diameter
hence
<span>the length of diameter BA is 30.64----> round to the nearest tenth---> 30.6
</span>
the answer is
<span>the length of diameter BA is 30.6</span>


7 0
3 years ago
Other questions:
  • Sharon has a rectangular bedspread that measures 3 feet by 5 feet. She wants to
    13·1 answer
  • It says to write a division story. But I don't know if it is 3 divided by 4 equals 3/4 or 6 divided by 4 equals 6/4?
    15·1 answer
  • 863.141 in expanded form
    14·1 answer
  • A recipe that serves 6 uses 1 1/2 cups of flour. How many cups are needed to serve 15
    5·1 answer
  • An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
    15·1 answer
  • The weather forecaster says that it is 200c in London but only 0.7 as hot in New York. How hot is it in New York
    11·1 answer
  • 12a⁸b÷48a³b⁸<br>álgebra​
    13·1 answer
  • Plz helppp<br><br> Use Distributive Property to Solve for x<br><br> 4 (x + 3)=8
    8·2 answers
  • Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in
    14·1 answer
  • Free po1nts!<br> enjoy! (:
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!