SOLUTION: Amanda bikes 22 miles in 3 hours. Byron bikes three times farther than Amanda, in twice the amount of time. What was Bryons average speed in miles per hour? A)7 B)11 C)14 D)4

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Amanda bikes 22 miles in 3 hours. Byron bikes three times farther than Amanda, in twice the amount of time. What was Bryons average speed in miles per hour? A)7 B)11 C)14 D)4      Log On

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Question 1142218: Amanda bikes 22 miles in 3 hours. Byron bikes three times farther than Amanda, in twice the amount of time. What was Bryons average speed in miles per hour?
A)7
B)11
C)14
D)44

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                    SPEED              TIME        DISTANCE

Amanda               22%2F3           3          22

Byron                3%2A22%2F%282%2A3%29        2%2A3        22%2B3%2A22


%2822%2B3%2A22%29%2F%282%2A3%29,mph
88%2F6
44%2F3
14%262%2F3 mph Byron

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.
Amanda bikes 22 miles in 3 hours. Byron bikes three times farther than Amanda, in twice the amount of time.
What was highlight%28cross%28Bryons%29%29 Byron's average speed in miles per hour?
~~~~~~~~~~~~~~~~~~~~


According to the condition, Byron bikes three times farther than Amanda, which means he bikes 22 + 3*22 = 88 miles.


According to the condition, Byron bikes  3 hours * 2 = 6 hours.


The Byron's average speed is  Distance%2FTime = 88%2F6 = 142%2F3 miles per hour.    ANSWER




I understand that you expected to get another answer:  %283%2A22%29%2F%282%2A3%29 = 66%2F6 = 11 mph.


But this expectation is not correct, because in English "three times farther than" means "4 times as far as".



Obviously, you are a novice in this wording usage, but it is the English language feature, which is 

DISTINCT from the pattern of many other languages.

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Ignore the answer and the solution by @josgarithmetic,  since they both are   T O T A L L Y   W R O N G.

It is the feature of this pseudo-tutor:  half of his  "solutions"  are wrong.


/\/\/\/\/\/\/\/\

After my notice, @josgarithmetic fixed his post.




Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Amanda bikes 22 miles in 3 hours. Byron bikes three times farther than Amanda, in twice the amount of time. What was Bryons average speed in miles per hour?
A)7
B)11
C)14
D)44
If "THREE TIMES FARTHER" actually means "THREE TIMES AS FAR", the correct answer will be: highlight_green%28matrix%281%2C2%2C+CHOICE%2C+%22B%29%22%29%29