Ruby is taking a road trip to see her parents. She drives 114 hours which covers 18 of her trip. How many hours will it take her to complete her trip?

Respuesta :

Answer: It will take 10 hours.

Step-by-step explanation:

Given: Distance traveled by Ruby in [tex]1\dfrac14[/tex] hours = [tex]\dfrac{1}{8}[/tex] of Total trip.

i.e. Time taken to  complete [tex]\dfrac{1}{8}[/tex] of Total trip=  [tex]1\dfrac14[/tex] hours

Time taken to cover the total trip = Reciprocal of  [tex]\dfrac{1}{8}[/tex]  x ([tex]1\dfrac14[/tex] )

[tex]=\dfrac81\times(\dfrac{5}{4})\\\\=2\times5\\\\=10\text{ hours}[/tex]

Therefore , it will take 10 hours to complete the trip.