Bbq Times Square
intermediate college allgebra help (word problems)?
1) a plane flew 600 miles with a 30 mph tailwind. on the return trip, the plane flew 600 miles into a 30 mph headwind. if the total flying time was 4.5 hrs, how fast does the plane fly in still air?
2) a homeowner has poured a rectangular concrete slab in her backyard to use as a barbecue area. the length is 3 feet more than its width. there is a 2 foot wide flower bed around the BBQ area. if the area covered by the BBQ area and the flower bed is 270 square feet, find the dimensions of the BBQ area?
The head and tail winds can’t cancel out since you can’t average vectors and mph is a vector. Talk to physics major about this.
Unless you know one of the two times you can’t do it.
1200 = ((s+30) * T1) + ((s-30) * T2)
T1 + T2 = 4.5
You could substitute for T2 with 4.5-T1 but the final equation still has two variables S and T1.
2) the overall area is expressed as L * W = 270
Substitute L+3 for W => L * (L+3) = 270
L**2 + 3L – 270 = 0
Factor (L+18) (L – 15) = 0
L = 18, W =15 for the total area
subtract 4 feet from each for the flower bed
L=14 W=11 for the BBQ
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