SOLUTION: The speedboat traveled at a speed that was twice as fast at the yacht. The speedboat traveled 240 miles in one hour less than it took the yacht to travel 150 miles. What were the s

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Question 1140123: The speedboat traveled at a speed that was twice as fast at 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?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
distance=speed*time
yacht=x speed
speedboat=2x speed
so 150=x*t1
240=2x*(t1-1)
300=2x*t1, multiplying the top by 2
240/(t1-1)=300/t1
cross-multiply
240 t1=300t1-300
-60 t1=-300
t1=5 hours for yacht and speed is 30 mph
t2=4 hours for speedboat and speed is 60 mph

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
               SPEED       TIME       DISTANCE

speedboat         2r        x-1        240

yacht             r          x         150

highlight_green%28150%2Fr-240%2F%282r%29=1%29-------solve to find speed of speedboat.
-
150%2Fr-120%2Fr=1
30%2Fr=1
highlight%28r=30%29
and you should be able to find the other three asked quantities from this.