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luda_lava [24]
3 years ago
8

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 h

ours 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?
Mathematics
1 answer:
WITCHER [35]3 years ago
6 0

Answer:

It will take them 5 hours to meet if they start moving towards eachother simultaneusly.

Step-by-step explanation:

Distance, s = 540 miles

Motocycle's speed, v = 48 mph

Time for motorcycle to cover 48 miles, t = \frac{Distance}{Speed}

=  \frac{540}{48} = 11.25 h

For a car it takes 2.25 hours less than 11.25 for motorcycle:

Time for car than becomes: 11.25 - 2.25  = 9 h

Speed for car would be v(c) = \frac{Distance}{Time}

= \frac{540}{9} = 60 mph

<em>For finding when they will meet, we will need relative speed: </em>

Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle

Relative Speed = 48 + 60 = 108 mph

Distance = 540 miles

Time =  \frac{Distance}{Speed}

        =  \frac{540}{108}

       = 5 hours





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