An airplane travels 460 miles from San Diego to San Francisco in 2.5 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
distance=rate times time distance=460 rate-wind=rate against wind rate+wind=rate with wind 2.5=time aginst wind 2=time with wind so 460=(rate-wind) times 2.5 and 460=(rate+wind) times 2
solve for rate 460=(rate-wind) times 2.5 divide both sides by 2.5 184=rate-wind
460=(rate+wind) times 2 divide by 2 230=rate+wind
we have 184=rate-wind 230=rate+wind add them
184=rate-wind 230=rate+wind + 414=2rate+0wind 414=2rate divide by 2 207=rate
