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vova2212 [387]
2 years ago
12

As a part of an exercise program, two students, Louisa and Alfredo, start walking each morning. They live 15 miles away from eac

h other. They decide to meet one day by walking toward one another. After 2 hours they meet. If Louisa walks one mile per hour faster than Alfredo, find both of their walking speeds.
Mathematics
1 answer:
Stels [109]2 years ago
3 0
St=d
s=d/t
t=d/s

so we have several things:
distance of alfredo
speed of alfredo
time of alredo

distance of louisa
speed of louisa
time of louisa

we will represen them as follows


distance of alfredo=d1
speed of alfredo=s1
time of alredo=t1=2=t2

distance of louisa=d2
speed of louisa=s2
time of louisa=t2=2=t1


d=distance
t=time
total d=15 miles
t=2 hours
they both walk towards each other

louisa's speed is 1 mile per hour more than Alfredo so s2=s1+1

so we also have


d1+d2=15
s2=s1+1
t1=t2=2

we want to solve for s1 and s2
d=st
d1=(s1)(2)
 
d2=(s2)(2)
subsitute s1+1 for s2
d2=(s1+1)(2)
put back ino equation

(s1)(2)+(s1+1)(2)=15
distribute
2s1+2s1+2=15
2(s1)+2(s1)+2=15
add like terms
4(s1)+2=15
subtract 2 from both sides
4(s1)=13
divide both sides by 4
s1=13/4=3 and 1/4 mph

s2=s1+1
s2=3 and 1/4
s2=4 and 1/4 mph

check
d=st
t=2
alfredo's distance=(3 and 1/4) times 2=6 and 1/2
louisa's distance=(4 and 1/4) times 2=8 and 1/2
6 and 1/2+8 and 1/2=6+1/2+8+1/2=14+1=15




Alfredo's walking speed=3 and 1/4 miles per hour
Louisa's walking speed=4 and 1/4 miles per hour

aka
Alredospeed=3.25 mph
Louisaspeed=4.25 mph
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Suppose that 15 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 48 cents?
tamaranim1 [39]
This can be solved by making an equivalent ratio.
The original ratio is what we know, 15 inches of wire for 90 cents.
In a ratio of inches of wire:cents, this would be 15:90.

Now for the equivalent ratio.
We don't know the number in the inches place but we do know it for the cents place.
Let's use x to represent inches of wire.
x:48 is our new ratio, and we need to find x.

Since x:48 and 15:90 are equivalent, that means the same thing that was done to 90 to get 48 has to be done to 15 to get the value of x, since the same thing must be applied to both sides.
We can find what 90 was divided by (which is what we'll have to divide 15 by) by dividing 90 by 48.
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This means 48 • 1.875 = 90 and x • 1.875 = 15.
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Answer:
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3 0
2 years ago
Need to also show work but confused
Levart [38]

Answer:

S = 2

Step-by-step explanation:

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1/20 s = 1/10

1/20 s = 1/10

step 2: multiply both sides by 20

20 * (1/20 s) = 20 * (1/10)

s = 2

Hope this helped!

7 0
3 years ago
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