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 $28$ minutes later. How many miles did I drive?
x = distance to beach
x / 40 time at 40 m/hr
x / 30 time at 30 m/hr
x/40 + 28/60 = x/30 solve for 'x' ( 28 minutes is 28/60 hr)
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 28 minutes later. How many miles did I drive?
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Time => t (in minutes)
40t = 30(t + 28)
t = 84 minutes (min)
40 miles / 60 min = x miles / 24 min
x = 16
You drove 56 miles