<PRE><B>Question 333670</B>
The speedboat traveled at a speed that was twice as fast as the yacht.
 The speedboat traveled 240 miles in one hour less than it took the yacht to travel 150 miles.
 What were the speed and time for both the speedboat and the yacht?
:
let s = the speed of the yacht
then
2s = the speed of the speedboat
:
Write a time equation: Time = dist/speed
:
yacht time - speedboat time = 1 hr
{{{150/s}}} - {{{240/(2s)}}} = 1
Multiply by 2s, clears the denominators
2(150) - 240 = 2s
:
300 - 240 = 2s
:
60 = 2s
s = {{{60/2}}}
s = 30 mph is the yacht
then
2(30) = 60 mph is the speedboat
:
Find the times
150/30 = 5 hrs for yacht
240/60 = 4 hrs for speedboat
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differ: 1 hr, confirms our solutions</PRE>