A ship leave on a long voyage. When it is 18 miles from the shore, a seaplane, whose speed is ten times that of the ship, is sent to deliver mail. How far from the shore does the seaplane catch up with the ship?
Explanation:
The separation between the ship and the seaplane is 18 miles. Since the two are travelling in the same direction, the relative speed would be 9 times the speed of the ship (If speed of ship is x miles/hour, speed of the seaplane would be 10x and 10x – x = 9x). Hence, to catch up with the ship, the seaplane would take 189x=2x hours. Now, the ship covers x miles in an hour, so in 2x hours it would cover 2 miles. So when the seaplane catches up with the ship, it would be 18 + 2 = 20 miles from the shore.
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