Answer:
Jim's hose: 27 hours.
Bob's hose: 21.6 hours.
Step-by-step explanation:
Let t represent hours taken by Jim's hose.
Part of pool filled by Jim's hose in 1 hour would be 
.
We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is 
.
Part of pool filled by Bob's hose in 1 hour would be 
.
We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be 
.
Now, we will add rates of both hoses and equate with as:
Cross multiply:
Therefore, it will take 27 hours for Jim's hose to fill the pool alone.
Time take by Jim's hose alone: 
.
Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.
You would have to do it two times, one being negative and one being positive.
4x + 1 < 5
-1 -1
4x < 4
x < 1
4x - 1 < 5
+1 +1
4x < 6
x < 1.5
So the answer would be x<1 and x<1.5
I hope this helps!
Area=Length*Width
So.... Length= Area/Width
Answer: 88 m
Step by Step: 5984/68=88
c = Hours it take Cindy by herself
p =Hours it take Pam by herself
now, we know if they work together, they can finish in 10 hours, so let's take a peek at their rate.
whilst working together
in 1 hr Cindy has done 1/c "th" of the whole work
in 1 hr Pam has done 1/p "th" of the whole work
and since we know the whole work's time is 10 hours, in 1 hour they both have done 1/10 of whole lot, so
Answer:
Wallet = $67.87
Belt = $64.00
Step-by-step explanation:
Let wallets be w and belts be b.
93w + 90b = 12072 => 31w + 30b = 4024 -(1)
39w + 23b = 4060 -(2)
(1) x 23 => 713b + 690b = 92552
(2) x 30 => 1170b + 690b = 121800
(2) - (1)
457b = 29248
b = 29248/457
b = 64
31w = 4024 - 30(64)
31w = 4024 - 1920
31w = 2104
w = 2104/31
w = 67.87
