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avatar+545 

Norma and David crawled to the barn and then hopped back to the house. They crawled at 300 centimeters per minute and hopped at 400 centimeters per minute. If the round trip took 7 minutes, how many minutes did they crawl? 
 

HELP I HAVE NO IDEA WHAT I'M DOING!!!

 Apr 5, 2016
 #1
avatar+33661 
+5

Let the distance from house to barn be L.  Distance = speed*time, so

 

L = 300*t1      (1)  where t1 is time to get from house to barn

 

L = 400*t2      (2)  where t2 is time to get from barn to house

 

t1 + t2 = 7      (3)

 

From (1) and (2) we have  300*t1 = 400*t2  so, dividing both sides by 400 we have t2 = 3*t1/4.  Put this into (3) to get:

 

t1 + 3*t1/4 = 7   or   7*t1/4 = 7  or  t1 = 4

 

t1 is the time they crawled, so crawling time = 4 minutes. 

 Apr 5, 2016
 #2
avatar+129852 
0

Let m be the minutes they crawled....then 7 - m = the minutes they hopped

 

And R *T   = D   ....   and D is the same in both cases....therefore.....

 

300 * m  = 400 * (7 - m)    simplify

 

300m = 2800 - 400m     add 400 m to both sides

 

700m = 2800     divide both sides by   700

 

m = 4 minutes = time they crawled

 

 

 

cool cool cool

 Apr 5, 2016
 #3
avatar+545 
0

thanks that helps alot.

 Apr 5, 2016

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