Problema Solution
A jet plane, flying 160 mph faster than a propeller plane, travels 5760 miles in 6 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
A man built a walk of uniform width around a rectangular pool. If the area of the walk is 63 square feet and the dimensions of the pool are 12 feet by 6 feet, how wide is the walk?
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A jet plane, flying 160 mph faster than a propeller plane, travels 5760 miles in 6 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
p = the speed of the propeller plane
160 + p the speed of the jet plane
d = 5760 miles
t = the time of the travel of the propeller plane
t - 6 the time of the travel of the jet plane
since speed = distance/time we can write
5760/t = p
5760/(t - 6) = 160 + p
if we plug 5760/t = p in the last equation we get
5760/(t - 6) = 160 +5760/t
by solving we find
t = 18 hours
p = 5760/18 = 320 mph
160 + p = 160 + 320 = 480 mph
the speed of the propeller plane is 320 mph.
the speed of the jet plane is 480 mph.
A man built a walk of uniform width around a rectangular pool. If the area of the walk is 63 square feet and the dimensions of the pool are 12 feet by 6 feet, how wide is the walk?
let w= the width of the walk
(12 + 2w)(6 + 2w) - 12*6 = 63
by solving we find
w = 1.5 ft
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the width of the walk is 1.5 ft.