Okay so, togo flies 30 miles in 3/5 of an hour with the wind.togo flies 30 miles in 5/6 of an hour against the wind. his rate of speed with the wind was 30 / (3/5) = 30*5/3 = 150/3 = 50 mph.his rate of speed against the wind was 30 / (5/6) = 30*6/5 = 6*6 = 36 mph.3/5 of an hour times 50 mph = 30 miles.
5/6 of an hour times 36 mph = 30 miles.mph looks good.
going he was with the wind.
his rate of speed then was the airplane speed plus the wind speed.coming back he was against the wind.his rate of speed then was the airplane speed minus the wind speed.-----50 mph = A + W36 mph = A - W-----looks like A + W - (A - W) should equal 50 - 36.removing parentheses, equation becomesA + W - A + W = 14.
combining like terms, the equation becomes2*W = 14.dividing both sides by 2, equation becomesW = 7.if W = 7, then A can be found as follows:50 = A + 7A = 43.likewise,36 = A - 7A = 43.since the airplane speed is the same, it looks like the answer is good.solving in the original equations, we get3/5 * (43 + 7) = 303/5 * 50- = 3030 = 30good.-----5/6 * (43 - 7) = 305/6 * 36 = 3030 = 30good.
answer is W = 7 and A = 43.
Technically, this counts
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105, 106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124, 125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142, 143,144,145,146,147,148,149,150,151,152
Target: ratio of pizza places / person < 0.01
<span>The
population of 15 blocks of the north side of town is 221 people per
block, but there are already 32 pizza places in the area.
population = 15*221 = 3,315
ratio: 32 pizza places / 3315 people = 0.0097 pizza places per person
Which indeed is less than 0.01 => this area is good for their purpose.
The population
of 22 blocks of the south area is 150 people per block, and there are
28 pizza places in the area.</span>
population: 22*150 = 3300
ratio: 28 pizza places / 3300 people = 0.00085 which is also less than 0.01
Both places meet the target of less than 0.01 places per person, but the south area seems better than north area.
