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A bicyclist leaves Bay Shore traveling at an average speed of 12 milesper hour. Three hours later, a car leaves Bay Shore, on the same route,traveling at an average speed of 30 miles per hour. How many hoursafter the car leaves Bay Shore will the car catch up to the cyclist?

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ajeigbeibraheem

The car will catch up with the cyclist 2 hours after he leaves Bay Shore.

What is the speed covered by the cyclist?

The speed of an object in motion is the amount of distance traveled in a specified direction within a given time.

It can be calculated by using the relation:

Speed = distance/time.

  • The speed traveled by the bicyclist = 12 m/ 1hr
  • Three hours later, a car traveled the same route with a speed = 30 m/ 1hr

So, in three hours, the bicyclist would have traveled at a speed of:

  • 12 m × 3 = 36 miles

  • So, if the car drove 30 miles in 1 hour,
  • In 60 miles, he will drove the car for 2 hours

The bicyclist will drove for 36 miles + 12 miles + 12 miles to cover the time of 2 hours.

We can have the relation equation:

30x = 12x + 36

30x - 12x = 36

18x = 36

x = 36/18

x = 2 hours.

Learn more about speed here:

https://brainly.com/question/13943409

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