SOLUTION: A motor scooter travels 18 miles in the same time that a bicycle covers 7 miles. If the rate of the scooter is 4 mph more than twice the rate of the​ bicycle, find both rates.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A motor scooter travels 18 miles in the same time that a bicycle covers 7 miles. If the rate of the scooter is 4 mph more than twice the rate of the​ bicycle, find both rates.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1160139: A motor scooter travels 18 miles in the same time that a bicycle covers
7 miles. If the rate of the scooter is 4 mph more than twice the rate of the​ bicycle, find both rates.

Found 4 solutions by MowMow, MathTherapy, ikleyn, josgarithmetic:
Answer by MowMow(42) About Me  (Show Source):
You can put this solution on YOUR website!
t= time traveled by both the Scooter and the Bicycle
Scooter: 18t
Bicycle: bt=7
18 = 2b+4
2b = 14
Bicycle rate b = 7 mph
Scooter rate = 18 mph

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A motor scooter travels 18 miles in the same time that a bicycle covers
7 miles. If the rate of the scooter is 4 mph more than twice the rate of the​ bicycle, find both rates.
The speeds from the other person are CORRECT!
Didn't see this: "Twice the rate"!

Answer by ikleyn(52785) About Me  (Show Source):
You can put this solution on YOUR website!
.

@MowMow, it is clear from your post, that you are not able to solve simplest Travel and Distance problem correctly
and have no idea on how to solve them, at all.


I observed your contribution to the forum,

and with 179% confidence I can say that you have no necessary knowledge to be a Math tutor.

I ask you STOP posting to this forum.


/////////////////////////////////


Dear tutor @MathTherapy,

I clearly see that the answer by @MowMow is correct.

But his solution is out of any logic.


It is why I protest against it.


We should not allow posting blatant nonsense to the forum.



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                 SPEED           TIME             DISTANCE
Scooter         2r+4             18/(2r+4)          18
Bicycle          r               7/r                 7

The two times were described as equal.
highlight_green%2818%2F%282r%2B4%29=7%2Fr%29

9%2F%28r%2B2%29=7%2Fr

7%28r%2B2%29=9r

7r%2B14=9r

14=2r

highlight%28r=7%29---------bicycle
-
2r%2B4=highlight%2818%29----------the scooter