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?

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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)   (Show Source): You can put this solution on YOUR website!
               SPEED       TIME       DISTANCE
WALK            2          t            d
JOB             5          t-1/15       d






-


********** should be
LCD is 6.






Answer by stanbon(75887)   (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)   (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

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