SOLUTION: scooter travels 12 miles in the same time that a bicycle covers 5 miles. if the rate of the scooter is 2 mph more than twice the rate of the bicycle find both rates
Algebra.Com
Question 1029768: scooter travels 12 miles in the same time that a bicycle covers 5 miles. if the rate of the scooter is 2 mph more than twice the rate of the bicycle find both rates
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in hrs for
both scooter and bicycle
Let = the rate of the bicycle in mi/hr
= the rate of the scooter in mi/hr
-------------------------------------
Equation for the bicycle:
(1)
Equation for the scooter:
(2)
---------------------
(1)
Substitute this result into (2)
(2)
Multiply both sides by
(2)
(2)
(2)
and
--------------------
The rate of the bicycle is 5 mi/hr
The rate of the scooter is 12 mi/hr
-----------------------------
check:
(1)
(1)
(1) hr
and
(2)
(2)
(2)
(2) hr
OK
RELATED QUESTIONS
A motor scooter travels 18 miles in the same time that a bicycle covers
7 miles. If the (answered by MowMow,MathTherapy,ikleyn,josgarithmetic)
I need your help with this word problem :(
A motor scooter travels 16 mi in the same... (answered by Boreal)
Two scooters travel from the same point in the same direction, leaving at the same time. (answered by algebrahouse.com)
If a tractor travels north at 20 mph and a scooter travels west at 35 mph but leaves an... (answered by Fombitz)
a train travels 30 mph faster than a caar. if the train covers 120 miles in the same time (answered by mananth)
In the Beta Village the 22 high school students own at least one means of... (answered by richwmiller)
A woman on foot leaves a restaurant heading west at noon. Three hours later, a man on a... (answered by devipriya)
A father walks 36 miles in 12 hours, while his son covers the same distance on a bicycle... (answered by ankor@dixie-net.com)
A person travels 3.5 km from place A to B. He travels 1×2/3 km on bicycle , 1×1/6 km on... (answered by josgarithmetic,ikleyn)