SOLUTION: Please help me with this problem as fast as you can. Your effort is appreciate. :)
~Carolyn drove from her home to school at 40 mph and was 10 minutes late. The next day she drove
Algebra.Com
Question 770904: Please help me with this problem as fast as you can. Your effort is appreciate. :)
~Carolyn drove from her home to school at 40 mph and was 10 minutes late. The next day she drove to school at 60 mph and was 10 minutes early. How far is far Carolyn's school from her home?
P.S. when u help me can you please please send answer,explanation and how you get the answer. Thank you!
Sincerely, desperately hoping for an answer ASAP.
Found 2 solutions by josmiceli, mananth:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in hours which
would make her arrive on time
----------------------------
= her time in hrs when
she drives mi/hr
----------------------
= her time in hrs when
she drives mi/hr
----------------------
Let =distance in miles from home to school
----------------------
Equation for driving mi/hr:
(1)
Equation for driving mi/hr:
(2)
--------------------------
(1)
(1)
and
(2)
(2)
-------------------
By substitution:
(2)
(2)
(2)
(2)
---------------
Plug this result back into either equation:
(2)
(2)
(2)
The distance in miles from home to school is 40 mi
check:
(1)
(1)
(1)
(1)
OK
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Carolyn drove from her home to school at 40 mph and was 10 minutes late. The next day she drove to school at 60 mph and was 10 minutes early. How far is far Carolyn's school from her home?
Let the required time to reach be t hours
Part I
speed = 40 mph
10 minutes = 10/60 hours = 1/6 hours
Actual time taken = with speed of 40 mph = t+1/6
Distance = speed * time
Part II
speed = 60 mph
time = t-(1/6)
Distance is same. so equate distance
multiply by 6
40((6t+1))=60(6t-1))
240t+40=360t-60
360t-240t=60+40
120t=100
t= 100/120
t= 5/6 hours
Calculate distance
plug t
D= 40*(5/6 +1/6)
=40 miles
Distance from home = 40 miles
RELATED QUESTIONS
Hi, I`m trying to study some of last years math to keep my mind fresh. I have forgotten... (answered by ramkikk66,MathTherapy)
I am being confused with the formula for figuring out the distance and time in this... (answered by stanbon)
Please help with the following:
Show all work as you solve the following problem and... (answered by MathTherapy)
Please help me with this problem as I am terrible at math. It comes from a worksheet.... (answered by ankor@dixie-net.com)
Yesterday, John biked 5 miles in 30 minutes. His school is 5 miles away from home. How... (answered by fractalier,stanbon)
Please Help me!!
Hi I desperately need help...the directions to this problem is to... (answered by edjones)
I need help finding the equation for this word problem.
Meredith drove at an average... (answered by ankor@dixie-net.com)
Please help me solve this problem:
Suppose it took you 30 minutes less to drive the 40... (answered by mananth)
Can you please help me with this problem. I am totally confused when it comes to D=RT... (answered by scott8148)