Problema Solution
alex hauled a load of pipe from fairbanks to deadhorse on the dalton highway in record time of 11 hours and 15 min. from fairbanks to coldfoot he averaged 50mph. because of blizard he averaged 10 mph less from coldfoot to dead horse. if coldfoot is halfway point, then what is the distance from fairbanks to coldfoot
Answer provided by our tutors
Let
v1 = 50 mph the speed from Fairbanks to Coldfoot
v2 = 50 - 10 = 40 mph the speed from Coldfoot to Deadhrose
d = the distance Fairbanks to Coldfoot
Since speed = distance/time we have time = distance/speed:
d/v1 + d/v2 = 11.25 (11 hr 15 min = 11 + 15/60 = 11.25 hr)
d/50 + d/40 = 11.25
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click here to see the equation solved for d
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d = 250 mi
The distance from Fairbanks to Coldfoot is 250 miles.