SOLUTION: Hi need some help with this problem: Congratulations! You are the proud owner of a new home, and today is moving day! Suppose the movers you have hired to help you have just lef

Question 95705: Hi need some help with this problem:
Congratulations! You are the proud owner of a new home, and today is moving day! Suppose the movers you have hired to help you have just left and will meet you at your new house to unload your belongings. The new house is 86 miles away. The movers left 12 minutes ago and are traveling at 50 miles per hour. (Hint: Change 12 minutes to its hour equivalent). You are leaving your house now and plan to drive 65 miles per hour. You want to reach the new house before the movers arrive, which means that you will pass them on the road.
a) Complete the table below.
Distance (miles) Rate (mph) Time (in hours)
You d t
Movers d t+0.2
b) Create a system of equations. One equation will show your distance at any given time t. The other equation will show the distance of the movers at any given time t.
c) How much time will it take you to catch up with the movers? How did you arrive at your answer?
d) How many miles will you have traveled when you catch up to the movers? Explain how you reached your answer.

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
50t=65(t-.2)
50t=65t-13
65t-50t=13
15t=13
t=13/15
t=.87 hours or 52 minutes you'll overtake the movers.
the distance traveled is:
50*.87=43.5 miles the truckers will have traveled.
65(.87-.2)=65*.67=43.5 miles you will have traveled.
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