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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 $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

 Nov 2, 2023

Best Answer 

 #1
avatar+36921 
+1

distance = rate  X time 

d = 40 t 

d = 55(t - 25/60)                    25/60 is the number of hours that is 25 min

 

equate the two d's

40 t = 55 ( t-25/60) 

-15t = - 22.917 

  t = 1  19/36 hr 

 

at 40 mi/hr this is       distance = rate  X time 

                                                = 40  X  1 19/36 =  61  1/9 miles 

 Nov 5, 2023
 #1
avatar+36921 
+1
Best Answer

distance = rate  X time 

d = 40 t 

d = 55(t - 25/60)                    25/60 is the number of hours that is 25 min

 

equate the two d's

40 t = 55 ( t-25/60) 

-15t = - 22.917 

  t = 1  19/36 hr 

 

at 40 mi/hr this is       distance = rate  X time 

                                                = 40  X  1 19/36 =  61  1/9 miles 

ElectricPavlov Nov 5, 2023

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