SOLUTION: A person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth
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Question 759067: A person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. Find the speeds of the plane and the ship. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! A person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. Find the speeds of the plane and the ship.
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let x=speed of plane
let y=speed of ship
travel time*speed=distance
..
4x+25y=1580
4x/2+25(5y/4)=1315
..
LCD:4
4x+25y=1580
8x+125y=5260
..
-8x-50y=-3160
8x+125y=5260
add
75y=2100
y=28
4x=1580-25y=1580-700=880
x=220
speed of plane=220 mph
speed of ship=28 mph
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