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- M_M13

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?

- M_M13

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B.
How fast did Car A travel?
________mph

- M_M13

Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.
How many points was each multiple choice question worth?
_______points

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- M_M13

In October, Greg and Thomas had the same amount of money in their savings accounts. In November, Greg deposited $120 into his account. Thomas increased the money in his account by 20%. When they compared their balances, they found that they were still equal.
How much money did each person have in his account in October?
$________

- anonymous

- anonymous

here is the answer for the first question:You have the formula,
Velocity=distance/time
hence we'll use that to solve for the velocity of both Cars A and B
since Car A traveled for 2.4 hours, then we'll have
Va = d/2.4 -----equation 1
since Car B traveled for 4 hours, then,
Vb = d/4 -----equation 2
NOTE that the distance traveled by Cars A and B are equal
getting the distance from equations 1 & 2
Va = d/2.4
d=2.4Va -------equation 3
Vb = d/4
d=4Vb -------equation 4
since distance of A and B are equal then we can equate equations 3&4
2.4Va=4Vb ------equation 5
The problem states that Car A traveled 22mph faster than car B.
Therefore we'll have the equation as:
Va=Vb+22 -------equation 6
substituting equation 6 to equation 5 we'll have
2.4Va=4Vb
2.4(Vb+22)=4Vb
2.4Vb +22(2.4)=4Vb
4Vb-2.4Vb=52.8
1.6Vb=52.8
Vb=33mph
substituting Vb to equation 6
Va=Vb+22
Va=33+22
Va=55mph

- M_M13

thanks

- anonymous

you will have to set this up into two equations and then use substitution or elimination. so the first equation would be 18x+19=y can you figure out the second equation from here?

- anonymous

this is for the second question

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