SOLUTION: Hello I need to learn formulas for distance word problems in algebra one. Here is an example of a question: Lewis ran to the store at 8 km/h and then walked home at 3 km/h. How far

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Question 1163274: Hello I need to learn formulas for distance word problems in algebra one. Here is an example of a question: Lewis ran to the store at 8 km/h and then walked home at 3 km/h. How far was it to the store, if the round trip took 11 hours?
Found 3 solutions by Alan3354, josgarithmetic, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Lewis ran to the store at 8 km/h and then walked home at 3 km/h. How far was it to the store, if the round trip took 11 hours?
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d = distance to the store.
time going = d/8 hours
time back = d/3 hours
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d%2F8+%2B+d%2F3+=+11 hours
3d + 8d = 264
11d = 264
d = 24 kms
---------------------
Check
24/8 + 24/3 = 3+8 = 11 hours
==========================================
I need to learn formulas for distance word problems ---
---
That's not a formula, it's how you solve it.
--
For a formula, for any round-trip, or trip of 2 equal lengths:
Avg speed = 2%2Ar%5B1%5D%2Ar%5B2%5D%2F%28r%5B1%5D%2Br%5B2%5D%29
Avg speed = 2*8*3/(8+3) = 48/11 km/hr
avg speed*11 = 48 km round trip ---> 24 km each way
Notice that the distance is not relevant to finding the avg speed.
==============================
There are a LOT of formulas. Too many for anyone to remember them all.
But, this one for average speed is similar to that of parallel resistors and parallel work, so it's not difficult to remember.



Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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Lewis ran to the store at 8 km/h and then walked home at 3 km/h. How far was it to the store, if the round trip took 11 hours?
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Unfortunate for Lewis. Long trip to do all on foot.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

See introductory lessons on  Travel and  Distance problems
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

For typical "tailwind and headwind" word problem,  see the lessons
    - Wind and Current problems
    - Wind and Current problems solvable by quadratic equations
    - Selected problems from the archive on a plane flying with and against the wind
in this site.

For typical and standard  Upstream  and  Downstream round trip word problem,  see the lessons
    - Wind and Current problems
    - More problems on upstream and downstream round trips
    - Wind and Current problems solvable by quadratic equations
    - Unpowered raft floating downstream along a river
    - Selected problems from the archive on the boat floating Upstream and Downstream
in this site.

For problems solved using  "time"  equation  (similar to your in this post),  see the lessons
    - Had a car move faster it would arrive sooner
    - How far do you live from school?
    - Earthquake waves
    - Time equation: HOW TO use, HOW TO write and HOW TO solve it
in this site.

In this site,  there is unprecedented collection of lessons on  Travel and  Distance problems.
It includes the above referenced lessons and many others.

Actually,  you have these free of charge online textbooks in  ALGEBRA-I  and  Algebra-II in this site

    - ALGEBRA-I - YOUR ONLINE TEXTBOOK

    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the parts of these textbooks under the sections  "Word problems",
the topics  "Travel and Distance problems"  and  "Additional lessons on  Travel and  Distance".


Save the links to these online textbooks together with their descriptions

        Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

and

        Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>

to your archive and use them when it is needed.


Happy learning at this web-site  (!)