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Tariq travels 16 miles from point X to Y, in straight line, in m minutes, where m > 0. Then he takes a coffee break in a nearby coffee shop for m minutes as well. After finishing his nice coffee, he travels K miles for another 2m minutes if Tariq’s average speed for his whole journey from point X to point Z is 13 miles m minute, what is the value of K?

 

I got to the step where the equation is16k/ 4m = 13/m

People are saying that we can cancel out the m's. IS that possible?

and why can you. There is 4 m's on the left side and 1 on the right.

 Jul 18, 2020
 #1
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Did you try to cross multiply? Try it and see what you get.

 Jul 18, 2020
 #2
avatar+26735 
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Can you clarify......   from the coffee shop for 2m minutes          to point Z?

 

and this :    13 miles m minute

 

~EP

 

...and yes , you can cancel out the m's     if you multiply both sides by m you will get

16km / 4m  = 13m/m

   and you are left with       16k/4 = 13        (hope you math is correct up until this point)

 Jul 18, 2020
edited by ElectricPavlov  Jul 18, 2020
 #3
avatar+26735 
+2

16 miles   in m minutes

                    + m minutes   for coffee

  k miles   in    2m minutes

 

average = 13 miles/  m minute

 

(16 + k )/ (m + m + 2m)   = 13 miles/m            NOTE:  16 + k      not    16k

(16+k) / 4m = 13/m

(16+k) / 4 = 13

16 + k = 52

k = 36

 Jul 18, 2020
edited by ElectricPavlov  Jul 18, 2020
 #4
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thanks that was the right answer. I was just coinfised on why u are allowed to cancel the m's when there is 1 on one side and 4 on the other.

BLANK  Jul 18, 2020

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