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A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
miles an hour in the same direction. How many hours must B travel to overtake A?

Respuesta :

ajeigbeibraheem

It will take B 8 hours to travel in order to overtake A.

The relationship among the distance, time and speed can be expressed by using the relation.

[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]

In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.

Here:

  • as speed (v) rises;
  • time (t) decreases, and
  • distance (d) is constant

From the given relation:

  • Distance = speed × time

So, we can have a table expressing the parameters given in the question as follows:

           v            t            d

A          4            t+2     4t + 8

B          5             t         5t

Equating both distance together, we have:

4t + 8 = 5t

collecting like terms, we have:

4t - 5t = -8

t = 8 hours

Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.

Learn more about distance, time and speed here:

https://brainly.com/question/12199398

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