Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u ![\frac{km}{hr}](https://tex.z-dn.net/?f=%5Cfrac%7Bkm%7D%7Bhr%7D)
Speed of current = v ![\frac{km}{hr}](https://tex.z-dn.net/?f=%5Cfrac%7Bkm%7D%7Bhr%7D)
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
![32 = \frac{100}{u +v}](https://tex.z-dn.net/?f=32%20%3D%20%5Cfrac%7B100%7D%7Bu%20%2Bv%7D)
![u + v = \frac{100}{32}](https://tex.z-dn.net/?f=u%20%2B%20v%20%3D%20%5Cfrac%7B100%7D%7B32%7D)
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
![48 = \frac{100}{u -v}](https://tex.z-dn.net/?f=48%20%3D%20%5Cfrac%7B100%7D%7Bu%20-v%7D)
![u -v = \frac{100}{48}](https://tex.z-dn.net/?f=u%20-v%20%3D%20%5Cfrac%7B100%7D%7B48%7D)
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045 ![\frac{km}{hr}](https://tex.z-dn.net/?f=%5Cfrac%7Bkm%7D%7Bhr%7D)
v = 0.5205 ![\frac{km}{hr}](https://tex.z-dn.net/?f=%5Cfrac%7Bkm%7D%7Bhr%7D)
Now the time taken by the un powered raft to cover this distance
![T = \frac{100}{v}](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B100%7D%7Bv%7D)
Because un powered raft travel with the speed of the current.
![T = \frac{100}{0.5205}](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B100%7D%7B0.5205%7D)
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
Answer:
2x - 13
Step-by-step explanation:
Step 1 :
1
Simplify —
2
Equation at the end of step 1 :
1
(-4x - 2) + (— • (12x - 22))
2
Step 2 :
Pulling out like terms :
3.1 Pull out like factors :
12x - 22 = 2 • (6x - 11)
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
12x - 22 = 2 • (6x - 11)
Equation at the end of step 3 :
(-4x - 2) + (6x - 11)
75% = 75/100÷ 5= 15/20 ÷5= ¾. does this help? hope it does
hope it helps :)
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
- Simon has more money than Kande
S > K
- if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
- While if Kande gave Simon $22, Simon would then have twice as much as Kande;
if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
The whole value can be found by using a phenomenon known as proportion
What is percentage?
A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
Now we are given a percent p of a value let us say x and that value be v
We have to find the initial value let us say that value to be 'P'
To find that we use proportion
That is ratio of value to their respective percentage will be equal
Hence we will have
P/100 = v/ x
P= (v/x)*100
Hence we get the initial value
To learn more about percentage please refer the following link
brainly.com/question/24877689
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