Respuesta :
Answer
Find out the how long will it take Jennifer to catch Jeff.
To prove
Formula
[tex]Speed = \frac{Distance}{Time}[/tex]
let us assume that the distance be denoted by d .
let us assume that the time be denoted by t .
As given
Jeff is traveling from his home in Salem at a constant rate of 50 mph.
He has already traveled 20 miles .
As put the values in the formula
[tex]50 = \frac{d + 20}{t}[/tex]
50t - 20 = d
(As jeff already travelled 20 miles distance.)
As given
His sister Jennifer is making the same trip but at a constant rate of 60 mph and has only traveled 5 miles.
than put the value in the formula
[tex]60 = \frac{d +5}{t}[/tex]
than the equation becomes
60t -5 = d
Than the two equation becomes
50t - 20 = d and 60t -5 = d
compare both the equation
50t - 20 = 60t -5
50t - 60t = 20 -5
- 10t = 15
[tex]t = \frac{-15}{10}[/tex]
t = -1.5
(As time cannot be negative.)
t = 1.5 hours
1.5 hours will it take Jennifer to catch Jeff.
Option (A) is correct .
