SOLUTION: I can walk at 2 miles per hour (mph) and jog at 5 mph. I get home from the bus stop 4 minutes quicker if I jog instead of walk. How far is it from my home to the bus stop?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: I can walk at 2 miles per hour (mph) and jog at 5 mph. I get home from the bus stop 4 minutes quicker if I jog instead of walk. How far is it from my home to the bus stop?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1064314: I can walk at 2 miles per hour (mph) and jog at 5 mph. I get home from the bus stop 4 minutes quicker if I jog instead of walk. How far is it from my home to the bus stop?
Found 3 solutions by josgarithmetic, stanbon, Alan3354:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
               SPEED       TIME       DISTANCE
WALK            2          t            d
JOB             5          t-1/15       d



system%282t=d%2C5%28t-1%2F15%29=d%29

t=d%2F2
-
5t-1%2F3=d
5%28d%2F2%29-1%2F3=d
5d%2F2-5%2F3=d ********** should be 5d%2F2-1%2F3=d
LCD is 6.
6%285d%2F2-5%2F3%29=6d
15d-10=6d
15d-6d=10
9d=10
d=10%2F9=highlight%281%261%2F9%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I can walk at 2 miles per hour (mph) and jog at 5 mph. I get home from the bus stop 4 minutes quicker if I jog instead of walk. How far is it from my home to the bus stop?
------
Walk DATA:
rate = 2 mph ; time = t hrs ; distance = 2t miles
------------
Jog DATA:
rate = 5 mph ; time = (t-(1/15)) hrs ; distance = 5(t-(1/15)) miles
------------
Equation::
dist = distance
2t = 5t - 3 ********* should be 5t - 1/3
3t = 3
t = 1 hr
-----
Ans:: dist = 2t = 2 miles
------------------
Cheers,
Stan H.
--------------------

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I can walk at 2 miles per hour (mph) and jog at 5 mph. I get home from the bus stop 4 minutes quicker if I jog instead of walk. How far is it from my home to the bus stop?
------------
d = r*t
d = 2t = 5(t- 1/15)
2t = 5t - 1/3
t = 1/9 hour
-----
d = 2/9 miles
==============
Check:
2*1/9 = 2/9 miles
(1/9 - 1/15)*5 = 5/9 - 1/3 = 2/9 miles
= 35763.2 cm