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avatar+1002 

I drove to the beach at a rate of $40$ miles per hour.  If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier.  How many miles did I drive?

 Feb 12, 2024
 #1
avatar+128406 
+1

Rate * Time   = Distance

Let T be the normal time in hours

25 minutes =  25/60  = 5/12 hr

Equate distances

 

40 T  =  55 ( T - 5/12)

 

40T  = 55T  - 275 /  12

 

275  / 12  =  55T - 40T

 

275 / 12  = 15  T

 

275 / [ 12 * 15 ]   = T

 

55/36 hrs  = T

 

D =  40 (55 / 36)  ≈  61.1  miles

 

cool cool cool

 Feb 12, 2024

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