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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 25 minutes later. How many miles did I drive?

 Oct 17, 2022
 #1
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You drove 72 miles.

 Oct 17, 2022
 #2
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Let the time taken to drive to the beach ==T hours

 

40T = 30[T + 25/60], solve for T

40T = 30T +  12.5

40T - 30T =12.5

10T = 12.5

T = 12.5 / 10 =1.25 hours to drive to the beach at 40 mph

 

1.25  x  40 =50 miles - distance from your house to the beach.

50 / 30 =1 + 2/3 =1 hour and 40 minutes to get to the beach if you drove at 30 mph.

 Oct 17, 2022

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