I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 50 miles per hour instead, then I would have arrived 45 minutes later. How many miles did I drive?

Guest Jun 8, 2023

#1**+1 **

D==Distance to the beach.

T ==Time it takes you to drive to the beach at 40 mph

D / 40 ==T.....................(1)

D / 50 ==T - 45/60........(2), solve for D, T

**D==150 miles**

**Note: If you drive at 50 mph, you would arrive 45 minutes EARLIER and not "later" !!**

Guest Jun 8, 2023

#2**0 **

t2 - t1 = 0.75

(d / 50) - (d / 40) = 0.75

To solve this equation, let's find a common denominator for the fractions:

(40 * d) / (40 * 50) - (50 * d) / (50 * 40) = 0.75

(40d - 50d) / 2000 = 0.75

(-10d) / 2000 = 0.75

Multiplying both sides by 2000:

-10d = 0.75 * 2000

-10d = 1500

Dividing both sides by -10:

d = 1500 / -10

d = -150

Gray46 Jun 9, 2023