Question 1194355
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 if the plane.
<pre>Let ship's speed be S
Then plane's is: 20S
We then get the following TIME equation: {{{matrix(2,3, 960/S + 960/(20S), "=", 42, 960/S + 48/S, "=", 42)}}}
                                            {{{matrix(1,3, 160/S + 8/S, "=", 7)}}} ------ Factoring out numerator-GCF, 6
                                            160 + 8 = 7S ------ Multiplying by LCD, S
                                                168 = 7S
                                Ship's speed, or {{{highlight_green(matrix(1,6, S, "=", 168/7, "=", 24, "km/h"))}}}

You should now be able to find the plane's speed.</pre>