Search found 10 matches
Re: Distance/Rate Problems
A = original speed
B = A + 16
Average speed = 30mph
Average speed = 2*A*B / A+B
=> 30 = 2 * A(A+16) / 2A+16
30=2(A^2 + 16A) / 2(A+8)
30=A^2 + 16A / A+8
30A + 240 = A^2 + 16A
A^2 - 14A -240 = 0
(A-24)(A+10) = 0
=> A = 24 as it cannot be negative. Answer is D
- by JamesHammel
Mon Jun 01, 2020 2:55 pm- Forum: Problem Solving
- Topic: Distance/Rate Problems
- Replies: 3
- Views: 459
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week.
Problem Solving
Re: The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week.
For every gallon of gas bought , the price at T2 (second week) will be $0.17 more (1.82-1.65). For every dollar spent , the price at T2 will be 0.17/1.65 more -> we are essentially finding the percentage increase (\(\frac{p2-p1}{p1}\) ). The amount spent at T1 = 26.4 => She would have spent (26.4 * ...
- by JamesHammel
Mon Jun 01, 2020 2:23 pm- Forum: Problem Solving
- Topic: The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week.
- Replies: 3
- Views: 420
OG: Just like the Internet today, often being called an “information superhighway”,
Sentence Correction
Re: OG: Just like the Internet today, often being called an “information superhighway”,
A - The use of 'like' is incorrect Like - used to compare nouns or gerunds As - used to compare clauses B - Correct C - 'being today often...' very clunky and confusing D - 1. Calls the internet an "information highway" - distorts the meaning 2. "with the internet, called an 'informat...
- by JamesHammel
Mon Jun 01, 2020 12:47 pm- Forum: Sentence Correction
- Topic: OG: Just like the Internet today, often being called an “information superhighway”,
- Replies: 1
- Views: 1299
OG: Unlike historical evidence of weather patterns in other regions of the world
Sentence Correction
Re: OG: Unlike historical evidence of weather patterns in other regions of the world
The sentence starts with unlike , therefore we know X will be compared to Y Unlike X, Y... For the comparison to be correct: - it must make logical sense - it must be parallel A - ' it's ' refers to ' the North Pole's clues ', this is illogical. B - ' Unlike historical evidence ... , the North Pole ...
- by JamesHammel
Mon Jun 01, 2020 4:59 am- Forum: Sentence Correction
- Topic: OG: Unlike historical evidence of weather patterns in other regions of the world
- Replies: 1
- Views: 1156
List \(M\) (not shown) consists of 8 different integers, each of which is in the list shown. What is the standard
Data Sufficiency
Re: List \(M\) (not shown) consists of 8 different integers, each of which is in the list shown. What is the standard
To find the standard deviation we need: the mean, the set of numbers in the list. 1) The mean in the list = the mean of M. Since the list is equally spaced, we can calculate the mean by \(\frac{first\ number\ +\ last\ number}{2}\) = \(\frac{4+\ 22}{2}\) = 13 Since the given list has 10 elements, the...
- by JamesHammel
Mon Jun 01, 2020 3:16 am- Forum: Data Sufficiency
- Topic: List \(M\) (not shown) consists of 8 different integers, each of which is in the list shown. What is the standard
- Replies: 1
- Views: 280
OG: Even with the proposed budget cuts and new taxes and fees, the city’s projected deficit
Sentence Correction
Re: OG: Even with the proposed budget cuts and new taxes and fees, the city’s projected deficit
A - 'It' is a pronoun with no clear antecedent. 'It' could refer to 'deficit' or 'gap' B - 'a billion dollars' is being compared to 'the prediction' with the use of 'over'. This is illogical. C - Same reason as for answer A D - correct E - They predicted it what? They predicted it TO BE. 'to be' is ...
- by JamesHammel
Sun May 31, 2020 6:09 pm- Forum: Sentence Correction
- Topic: OG: Even with the proposed budget cuts and new taxes and fees, the city’s projected deficit
- Replies: 1
- Views: 1484
Working alone at its constant rate, machine \(K\) took 3 hours to produce 1/4 of the units produced last Friday. Then
Problem Solving
Re: Working alone at its constant rate, machine \(K\) took 3 hours to produce 1/4 of the units produced last Friday. The
3/4 of the production is left.
Together, both machines take 6 hours to complete 3/4 of the product
In those 6 hours, K can produce 2/4 of the product (1/4 * 2).
This means M produced 1/4 in 6 hours.
It would take M 6*4 hours to complete production alone. (D)
- by JamesHammel
Sun May 31, 2020 5:43 pm- Forum: Problem Solving
- Topic: Working alone at its constant rate, machine \(K\) took 3 hours to produce 1/4 of the units produced last Friday. Then
- Replies: 2
- Views: 369
Seamus has 3 times as many marbles as Ronit, and Taj has 7 times as many marbles as Ronit. If Seamus has \(s\) marbles,
Problem Solving
Re: Seamus has 3 times as many marbles as Ronit, and Taj has 7 times as many marbles as Ronit. If Seamus has \(s\) marbl
First we can determine the amount in the amount Ronit (R) has :
S = 3R
Taj (T) = 7 R
S + T + R = 3R + 7R +R = 11R
Thus, 11R = 11 * S/3 (C)
- by JamesHammel
Sun May 31, 2020 5:35 pm- Forum: Problem Solving
- Topic: Seamus has 3 times as many marbles as Ronit, and Taj has 7 times as many marbles as Ronit. If Seamus has \(s\) marbles,
- Replies: 2
- Views: 370
An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more
Problem Solving
Re: An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more
X = 3/5 = 8 hours
Y = 2/5 = remaining time needed
\(\frac{Y}{8}=\frac{\frac{2}{5}}{\frac{3}{5}}\)
\(\frac{Y}{8}=\frac{2}{3}\)
3Y = 16
Y = 16/3 = 5.333
1/3 of an hour is 20 mins
=> The time required to fill the rest of the pool (Y) will be 5 hours 20 minutes (B)
- by JamesHammel
Sun May 31, 2020 5:20 pm- Forum: Problem Solving
- Topic: An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more
- Replies: 2
- Views: 358
What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playgrou
Problem Solving
Re: What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular play
The area of triangle 2 (A2) = 16 * 12 = 192
Because both triangles have the same area we can divide A2 by the known side of triangle 1.
16 * 12 / 6 = 32
Now we have both lengths we simply add them.
6+6+32+32 = 76 (D)
- by JamesHammel
Sun May 31, 2020 4:49 pm- Forum: Problem Solving
- Topic: What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playgrou
- Replies: 1
- Views: 344