Equations and Problem Solving 9/8/15. Example 1 An airplane takes off from an airport at 7:00 am traveling at a rate of 350 mi/h. Two hours later, a jet.

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Presentation transcript:

Equations and Problem Solving 9/8/15

Example 1 An airplane takes off from an airport at 7:00 am traveling at a rate of 350 mi/h. Two hours later, a jet takes off from the same airport following the same path at 490 mi/h. In how many hours will the jet catch up with the airplane?

Example 2 Mary leaves her house at noon, traveling in her car at 45 mi/h. Later, Mary’s brother leaves their house and travels in the same direction at 60 mi/h. If Joe leaves at 2:00 pm, at what time will he catch up with Mary?

Example 3 Mike leaves school on his bike at 1:00 pm, traveling at 12 mi/h. Janis leaves the school one quarter of an hour later, traveling at 16 mi/h in the same direction. At what time will Janis catch up with Mike?

Example 4 The length of a rectangle is three times the width. The perimeter is 63 in. Find the dimensions of the rectangle.

Example 5 Find three consecutive integers whose sum is 111.

Example 6 Each of two congruent sides of an isosceles triangle is 4 in. less than twice the base. The perimeter of the rectangle is 37 in. What is the length of the base?