+0  
 
+1
46
4
avatar+120 

I drove to my parents' house at 60 miles per hour. If I had driven 50 miles an hour instead, then I would have gotten there 40 minutes later. How many miles did I drive?

 

Thank you!

HelpPLZ  Sep 18, 2018
 #1
avatar+13014 
+3

The DISTANCE is the same regardless of the SPEED.

 

Let x = amount of hours required at 60 MPH

    then x+ 40/60  = hours required at  50 MPH    

 

Since the distance is equal:

 

60 * x  = 50 (x + 40/60)      Then slove for 'x' = 3 1/3 hr

 

60 mph  takes  3 1/3 hr   =  60 x 3 1/3  miles = 200 miles

ElectricPavlov  Sep 18, 2018
 #2
avatar+120 
+2

Thank you!

HelpPLZ  Sep 18, 2018
 #3
avatar+13014 
+2

Welclome!  cheeky

ElectricPavlov  Sep 18, 2018
 #4
avatar+89775 
+1

Let D  be the distance...and 40 min  = 2/3 hr

 

And  rate * time  =  distance.....but the distances are the same...so  ...we can make an equation involving the times

 

Adding 40min  = 2/3 hr to  the time it takes driving 60 mph  = the time it takes driving 50  mph....so...

 

D / 60   +  2/3   =  D /  50    rearrange as

 

2/3=  D/50  - D / 60

 

2/3  = [ 60 - 50 ] D  / 3000

 

2/3  = 10D / 3000

 

2/3  = D/ 300    multiply both sides by 300

 

300 (2/3)  = D  = 200 miles

 

 

cool cool cool

CPhill  Sep 20, 2018

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