DISTANCE QUESTION PLEASE HELP

Question

A CAR AND PASSENGER CAR TRAIN PASS EACH OTHER AT NOON. tHE TRAIN IS EAST BOUND AND AVERAGING SPEED IS 45 MPH. THE CARIS WEST BOUND AND ITS AVERAGE SPPED IS 60 MPH. WHEN WILL THE CAR AND TRAIN BE 14 MILES APART

Answer 1

Hi Amie;

train...45 m/h East

car...60 m/h West

 

The car and train will together travel a total distance of 14 miles.  However, it does not matter what distance either will travel.

The train is traveling 45 m/h in one direction.

The car is traveling 60 m/h in the opposite direction.

They are traveling apart at a rate of 105 m/h.

 

distance=(rate)(time)

(distance)/(rate)=time

x=time

x=[14 m]/[(45 m/h)+(60 m/h)]

x=14/105 hours

It might be best to convert to minutes...

x=[(14/105)(hours)][(60 minutes)/(1 hour)]

Let's cancel units appropriately.  Hours are on the denominator and numerator...

x=[(14/105)(hours)][(60 minutes)/(1 hour)]

x={[(14)(60)]/(105)} minutes

x=(840/105) minutes

x=8 minutes

It will require 8 minutes before they are 14 miles apart.