SOLUTION: A pilot picks up mail at a remote village and returns to home base in 4 hours. If his average speed going is 150mph and the average speed returning is 100mph, how far is home base

Question 339755: A pilot picks up mail at a remote village and returns to home base in 4 hours. If his average speed going is 150mph and the average speed returning is 100mph, how far is home base from the village?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A pilot picks up mail at a remote village and returns to home base in 4 hours.
If his average speed going is 150mph and the average speed returning is 100mph,
how far is home base from the village?
:
Let d = one way distance to the village
:
Write a time equation: time = dist/speed
:
Go time + return time = 4 hrs
+ = 4
Multiply by 300 to clear the denominators, results:
2d + 3d = 300(4)
5d = 1200
d =
d = 240 miles dist from base of village
;
:
Check solution by finding the times:
240/150 = 1.6 hrs
240/100 = 2.4 hrs
------------------
total time: 4 hrs; confirms our solution
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