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I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 30 miles per hour instead, then I would have arrived 20 minutes later. How many miles did I drive?

 Apr 15, 2020
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Distance is the same regardless of the speed for this question

 

rate x time = distance

 

40 m/h  * x      = distance

30 m/h * (x + 1/3)   = distance         1/3 = 1/3 hour = 20 minutes

 

40x  =  30 (x+1/3)

40x  = 30x + 10

10x = 10

x = 1 hr

 

40 m/hr x 1 hr = 40 miles       check   30 m/h x  1 1/3 = 40 miles   Check!

 Apr 15, 2020

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