SOLUTION: Two trains leave stations 40 miles apart at the same time heading toward one another on parallel tracks. Train A is traveling 45 miles per hour, while Train B is going 65 miles per

Question 1041407: Two trains leave stations 40 miles apart at the same time heading toward one another on parallel tracks. Train A is traveling 45 miles per hour, while Train B is going 65 miles per hour. The dispatcher wonders how long it will take them to meet each other.
Identify a system of equations can you use to solve this problem for t, the time it will take for the trains to pass each other.
Select one:
a.
Train A: d=45t Train B: d=65t
b.
Train A: d=40+45t Train B: d=65t
c.
Train A: d=45t-40 Train B: 40-d=65t
d.
Train A: d=45t Train B: 40-d=65t
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A cross-country skier leaves her home at noon. She skis for an hour with the wind at her back, and then decides to turn around and take the same route home. Now that she is headed into the wind, her speed is 3 miles per hour slower going home than it was in the first hour. She arrives home at 3:30. She wondered how far away she was when she decided to turn back.
Which of these systems of equations can you use to solve this problem?
Select one:
a. Outgoing trip: d=r+3
Incoming trip: d=r-3
b. Outgoing trip: d=r-1
Incoming trip: d=(2.5r)-3
c. Outgoing trip: d=2.5r
Incoming trip: d=r-3
d. Outgoing trip: d=r*1
Incoming trip: d=(r-3)*2.5
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Two trains leave stations 75 miles apart at the same time heading toward one another on parallel tracks. Train A is traveling 60 miles per hour, while Train B is going 65 miles per hour.
How long after departure do the trains pass each other?
Select one:
a. 12.5 minutes
b. 126 minutes
c. 36 minutes
d. 60 minutes
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The art club is selling their handmade jewelry to raise money for new paints and brushes. Earrings were sold for $6 a pair and necklaces were sold for $12.50 each. They sold a total of 30 items and made $264.50.
Which system of equations best represents the situation above?
Note: In all of the choices below, e represents money earned, p represents price, and n represents number of items sold.
Select one:
a. Earrings: e=6(30-n)
Necklaces: 264.50-e=12.50*n
b. Earrings: e=30-n
Necklaces: 264.50-e=n
c. Earrings: e=12.50(30-n)
Necklaces: 264.50-e=6*n
d. Earrings: e=6(n-30)
Necklaces: e-264.50=12.50*n
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The field hockey team is holding several fundraisers to save up enough money to buy team jackets. Babysitting earns $6 per hour more than washing cars. Together the team worked 8 hours washing cars and 25 hours babysitting and earned a total of $414.
Which system of equations best represents the situation above?
Note: In all of the choices below, e represents money earned, r represents rate, and t represents time.
Select one:
a. 414=x*8
e=(x+6)*25
b. e=x*8
414-e=(x)*(25-8)
c. e=x*8
414-e=(x+6)*25
d. e=(x+6)*8
414-e=(x)*25
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I'll try the 1st one
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Let = the distance in miles train A travels until they meet
= the distance in miles train B travels until they meet
Let = time in hrs until they meet
--------------------------------
Equation for train A:
(1)
Equation for train B:
(2)
---------------------
The correct answer is (d)
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