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Two cruise ships depart from the same harbor. SeabournOdysseydeparts at 8 AM, and travels due south2 mph faster than the northbound Norwegian Bliss, that left the harbor 1 hour laterthan Seabourn Odyssey. At noon, the ships are 176miles apart. How fast has each ship been travelling?

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fichoh

The traveling speed of each ship is :

  • Ship A = 24 mph
  • Ship A = 24 mphShip B = 26 mph

Distance apart at 12:00 noon = 176 miles

Recall :

Distance = speed × time

Ship A :

Departure time = 9AM

Speed = s

Travel time = 12 - 9 = 3 hrs

Distance covered = 3 × s = 3s

Ship B :

Departure time = 8AM

Speed = 2+s

Travel time = 12 - 8 = 4 hours

Distance = 2+s(4) = 8 + 4s

Distance apart = 3s + (8 + 4s)

176 = 3s + 8 + 4s

176 = 7s + 8

176 - 8 = 7s

168 = 7s

s = 168 / 7

s = 24

Ship A speed = s = 24mph

Ship B speed = s + 2 = 26 mph

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