<PRE><B>Question 1194355</B>
A man traveled a distance of 960 kilometers by ship to an island.
 He returned by plane.
 The rate of the plane was 20 times the rate of the ship.
 He spent 42 hours on the trip.
 Find the rate of the ship and the rate of the plane.
:
Let s = the rate of the ship
the plane is 20 times faster, therefore
20s = the rate of the plane
:
Write a time equation, time = dist/speed
Ship time + Plane time = 42 hrs 
{{{960/s}}} + {{{960/(20s)}}} = 42
Multiply eq by 20s, cancel the denominators and you have
20(960) + 960 = 20s * 42
19200 + 960 = 840s
20160 = 840s
20160/840 = s
 s = 24 km/hr is the rate of the ship
therefore:
20 * 24 = 480 km/hr is the rate of the plane
:
:
Check this by finding the time each way
960/24 = 40 hrs
960/480 = 2 hrs
--------------------
total time: 42 hrs
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