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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 $28$ minutes later. How many miles did I drive?

 Nov 8, 2021
 #1
avatar+1582 
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https://web2.0calc.com/questions/3-questions-on-algebra_1

 Nov 9, 2021
 #2
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+1

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)

 Nov 9, 2021
 #3
avatar+1607 
+1

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?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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

 Nov 9, 2021

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