SOLUTION: Meteorlogist Paul Windward and geologist Rhaina Stone are rushing to a paleontology conference in Pecos Gulch. Paul lifts off in his balloon at noon from Lost Wages, heading east f

Question 591020: Meteorlogist Paul Windward and geologist Rhaina Stone are rushing to a paleontology conference in Pecos Gulch. Paul lifts off in his balloon at noon from Lost Wages, heading east from Pecos Gulch Conference Center. With the wind blowing west to east, he averages a land speed of 30 m/hr. This will allow him to arrive in 4 hours, just as the conference begins. Meanwhile, Rhaina is 160 km north of Lost Wages. At the moment of Pual's lift off, Rhaina hops into an off-roading vehicle and heads directly for the conference center. At what average speed must she travel to arrive at the same time Paul does?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Paul lifts off in his balloon at noon from Lost Wages, heading east from Pecos Gulch Conference Center.
With the wind blowing west to east, he averages a land speed of 30 m/hr. This will allow him to arrive in 4 hours, just as the conference begins.
Paul DATA:
time = 4 hrs ; rate = 30 km/hr ; distance = 4*30 = 120 km
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Meanwhile, Rhaina is 160 km north of Lost Wages. At the moment of Pual's lift off, Rhaina hops into an off-roading vehicle and heads directly for the conference center. At what average speed must she travel to arrive at the same time Paul does?
Raina DATA:
rate = r km/hr ; time = 4 hrs ; distance = 4r km
--
Equation:
4r = 120
r = 30 km/hr (Raina's rate)
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Cheers,
Stan H.
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