1.A truck traveling at a constant rate of 45 miles per hour leaves Middletown. One hour later a car traveling at a constant rate of 60 miles per hour also leaves Middletown traveling in the same direction on the same highway. How long will it take for the car to catch up to the truck, if both vehicles continue in the same direction on the highway?
2.Ben had twice as many nickels as dimes. Altogether, Ben had $4.20. How many nickels and how many dimes did Ben have?
3.Vincent has cut three pieces of rope to complete a science project. Two pieces are of equal length. The third piece is one-quarter the length of each of the others. He cut the three pieces from a rope 54 meters long without any rope left over. Find the number of meters in each piece.
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[1] the formula d=rt means distance travelled equals rate of speed multiply time
the trucks distance 45(t)
the cars distance 60(t-1) since it started one hour later.
the car catches the truck when they have traveled the same distance so
45 t = 60(t-1) solve for time (t)
[2] n is nickels and d is dimes
n = 2d and 5n + 10d = 420 for money value
substitute for n in second equation and get
5(2d) + 10d = 420 solve this for dimes (d)
and finish
[3] x is length of each of the two pieces that are equal length
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