Two cars travel in the same direction along a straight highway, one at a constant speed of 57 mi/h and the other at 76 mi/h. assuming they start at the same point, how much sooner does the faster car arrive at a destination 12 mi away? answer in units of min. how far must the faster car travel before it has a 20 min lead on the slower car? answer in units of mi.

Car 2 arrives 3.16 minutes sooner to car 1 at 12 miles.

The faster car must travel 75.76 miles before it has a 20 min lead on the slower car.

Step-by-step explanation:

Speed of car 1 = 57 mph

Speed of car 2 = 76 mph

We need to find how much sooner does the faster car arrive at a destination 12 mi away.

Time taken for car 1

Time taken for car 2

Difference between arrival = 12.63 - 9.47 = 3.16 minutes

So the car 2 arrives 3.16 minutes sooner to car 1 at 12 miles.

Now we need to find the distance at which faster car has a 20 minute lead

          Difference between arrival = 20 minutes

Let the distance be S

Time taken for car 1

Time taken for car 2

We have

                    1.053 S - 0.789 S = 20

                            S = 75.76 miles

So the faster car must travel 75.76 miles before it has a 20 min lead on the slower car.

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step-by-step explanation:

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