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27 Sep 2010, 23:17
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Hey. I am struggling with these two questions. What are the best way to solve them? Thanks!!!
question 1
First day of vacation, Joe traveled 216 miles. 2nd day of vacation, traveling at the same average speed, he traveled 378 miles. If the 216 mile trip took 3 hours less than 378 mile trip, what was avg speed in mph?
a)31
b)38
c)50
d)54
e)56
question 2
Pat bought N apples at cost of 3 for $0.20 and then sold the N apples at price of 4 for $0.35. If Pat's revenue from sale of the apples was $2.50 more than the cost of the apples, what is the value of n?
a)150
b)120
c)90
d)80
e)60
question 1
First day of vacation, Joe traveled 216 miles. 2nd day of vacation, traveling at the same average speed, he traveled 378 miles. If the 216 mile trip took 3 hours less than 378 mile trip, what was avg speed in mph?
a)31
b)38
c)50
d)54
e)56
question 2
Pat bought N apples at cost of 3 for $0.20 and then sold the N apples at price of 4 for $0.35. If Pat's revenue from sale of the apples was $2.50 more than the cost of the apples, what is the value of n?
a)150
b)120
c)90
d)80
e)60
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27 Sep 2010, 23:40
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rtaha2412
Hey. I am struggling with these two questions. What are the best way to solve them? Thanks!!!
question 1
First day of vacation, Joe traveled 216 miles. 2nd day of vacation, traveling at the same average speed, he traveled 378 miles. If the 216 mile trip took 3 hours less than 378 mile trip, what was avg speed in mph?
a)31
b)38
c)50
d)54
e)56
question 2
Pat bought N apples at cost of 3 for $0.20 and then sold the N apples at price of 4 for $0.35. If Pat's revenue from sale of the apples was $2.50 more than the cost of the apples, what is the value of n?
a)150
b)120
c)90
d)80
e)60
question 1
First day of vacation, Joe traveled 216 miles. 2nd day of vacation, traveling at the same average speed, he traveled 378 miles. If the 216 mile trip took 3 hours less than 378 mile trip, what was avg speed in mph?
a)31
b)38
c)50
d)54
e)56
question 2
Pat bought N apples at cost of 3 for $0.20 and then sold the N apples at price of 4 for $0.35. If Pat's revenue from sale of the apples was $2.50 more than the cost of the apples, what is the value of n?
a)150
b)120
c)90
d)80
e)60
Question 1
Extra miles covered = 378-216 = 162
Extra time taken = 3 hours
So speed = 162/3 = 54mph
Answer : d
Question 2
Profit per 12 apples sold = 3*0.35 - 4*0.20 = 0.25
Total profit = 2.5
So apples sold = 12 * (2.5/0.25) = 120
Answer : b
27 Sep 2010, 23:47
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1.
Distance=Speed * Time
216=ST
378=S(T+3)==> 378-3S=ST=216==>S=(378-216)/3 = 162/3=54 Answer: D
2.
Buying cost:
cost of 3 apples = 0.35
==> cost of 1 apple = 0.35/3
==> cost of n apples = n(0.35)/3
Selling cost:
cost of 4 apples = 0.20
==> cost of 1 apple = 0.20/4
==> cost of n apples = n(0.20)/4
qtn says profit = 2.5
==> buying cost - selling cost = 2.5
==> n(0.35)/3 - n(0.20)/4 = 2.5...solving for n will yeild n=120 ...answer:B
Hopw it helps.
Distance=Speed * Time
216=ST
378=S(T+3)==> 378-3S=ST=216==>S=(378-216)/3 = 162/3=54 Answer: D
2.
Buying cost:
cost of 3 apples = 0.35
==> cost of 1 apple = 0.35/3
==> cost of n apples = n(0.35)/3
Selling cost:
cost of 4 apples = 0.20
==> cost of 1 apple = 0.20/4
==> cost of n apples = n(0.20)/4
qtn says profit = 2.5
==> buying cost - selling cost = 2.5
==> n(0.35)/3 - n(0.20)/4 = 2.5...solving for n will yeild n=120 ...answer:B
Hopw it helps.
