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1. Four friends agree to split the cost of a rental car equally. One of the friends decided to take a taxi, so the remaining three friends each paid $11 more. What was the cost of the rental car, in dollars?

 

2. London is five hours ahead of New York. A passenger airplane departs New York at 10:30 P.M. The flight is scheduled to last 6 hours, 35 minutes. At what time is the flight scheduled to arrive in London?

 

3. In the addition problem below, A, B, C, and D represent distinct nonzero digits. What is the value of A+B+C +D? A B A + C C =D 0 0 B

 

4. Last Tuesday, Frank averaged 40 miles per gallon on his way from his home to work. On the return trip, he took the same route, but only averaged 30 miles per gallon due to slower traffic. What was Frank‚Äôs overall fuel efficiency, in miles per gallon, for the round trip? Express your answer as a decimal to the nearest tenth.

 

5. A right triangular prism has all edges of length 2 cm. What is the surface area of the prism? Express your answer in simplest radical form.

mathtoo  Feb 18, 2018
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8+0 Answers

 #1
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1)

Let the cost of rental car = C

Let the share of each = S, then:

C/4 =S - original share of each

3[S + 11] =C, solve for C, S

C = $132 - cost of the rental car.

S = 33 - original share of each

Guest Feb 18, 2018
 #2
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2)

10:30 PM in New York is 3:30 AM in London

3:30 AM + 6 hours, 35 minutes

10:05 AM - in London the following morning, when the plane lands.

Guest Feb 18, 2018
 #3
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4) EP's answer is the CORRECT one!.

Guest Feb 18, 2018
edited by Guest  Feb 18, 2018
 #4
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#3    D=1  A=9 B=4  C=5

ElectricPavlov  Feb 18, 2018
 #5
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#4      x miles/ (40 m/g)  +   x miles/(30 m/g) =  2x miles/ ?m/g

 

 

divide by x      1/40 +1/30 = 2/?      solve for ? = 34.3 m/g

ElectricPavlov  Feb 18, 2018
 #6
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1. Four friends agree to split the cost of a rental car equally. One of the friends decided to take a taxi, so the remaining three friends each paid $11 more. What was the cost of the rental car, in dollars?

 

Let the cost of the rental car = C

So....the amount that each would pay before one left is  C / 4

 

So.....after one lleft.....the amount each pay is  C/4  + 11

 

So

 

3 (C/4 + 11)  =  C       simplify

 

(3/4)C + 33  = C

 

33  =  1/4C     multiply both sides by 4

 

$132   =  C 

 

cool cool cool

CPhill  Feb 18, 2018
 #7
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Thanks, everyone! Do you what the answer for 5 is?

mathtoo  Feb 18, 2018
 #8
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#5   Three sides are 2x2    so 3 x 2 x2  = 12 cm^2

        the ends are equalateral triangles with sides= 2    area =  2 sides x  sqrt3/4 x (2^2) =3.464

 

3.464 + 12 = 15 . 464  cm^2

 

or    12 + 2 sqrt(3)     cm^2        

ElectricPavlov  Feb 18, 2018
edited by ElectricPavlov  Feb 18, 2018
edited by ElectricPavlov  Feb 18, 2018

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