The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 hours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?

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14-01-2019
Mathematics

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The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 hours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?

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lizzybeth67 lizzybeth67 · Answer 1 · 2019-01-23T23:13:39+01:00

Answer:

Using the notion of relative speed (how fast the two are traveling towards each other) we can figure out when they will meet. Remember that units cancel themselves out in division (miles / miles per hour = hours).

Step-by-step explanation:

First, find the time it will take the motorcycle to get from A to B:

540 miles / 48 miles per hour = 11.25 hours

Now we can find out how long it will take the car:

11.25 hours- 2.25 hours = 9 hours

Now we can find the speed of the car:

540 miles / 9 hours = 60 mph

Now find out how fast they are traveling towards each other:

60mph + 48mph = 108mph

Finally divide the total distance (540 miles) by how fast they are traveling towards each other (108 mph) to see how long it will take them to meet:

540 miles / 108 miles per hour = 5 hours