SOLUTION: A truck enters a highway driving 60 mph. A car enters the highway at the same place 8 minutes later and drives 73 mph in the same direction. From the time the car enters the​ hig

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Question 1152237: A truck enters a highway driving 60 mph. A car enters the highway at the same place 8 minutes later and drives 73 mph in the same direction. From the time the car enters the​ highway, how long will it take the car to pass the​ truck?
Found 3 solutions by ankor@dixie-net.com, josmiceli, MathTherapy:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A truck enters a highway driving 60 mph. A car enters the highway at the same place 8 minutes later and drives 73 mph in the same direction.
From the time the car enters the​ highway, how long will it take the car to pass the​ truck?
:
let t = travel time of the car
then
= travel time of the truck, (convert 8 min to hrs)
:
When the car catches the truck they will have traveled the same dist
Write a dist equation, dist = speed * time
73t = 60(t+)
distribute the 60
73t = 60t + 8
73t - 60t = 8
13t = 8
t = hrs which is * 60 = 36.9 min for the car to catch the truck
:
:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
hrs is the 1st car's head start
Let = distance in miles the car travels
until it catches the truck
Let = time in hrs the car takes to catch the truck
--------------------------------
Equation for truck:
(1)
Equation for car:
(2)
-----------------------------------
(1)
(1)
(1) hrs

The car passes the truck in 18.46 minutes
-------------------------
check:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1) mi
OK
Get a 2nd opinion if needed
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

A truck enters a highway driving 60 mph. A car enters the highway at the same place 8 minutes later and drives 73 mph in the same direction. From the time the car enters the​ highway, how long will it take the car to pass the​ truck?
Let the time the car takes to overtake the truck be T

Then we get the following DISTANCE equation: 

73T = 60T + 8 ---- Distributing right-side

73T - 60T = 8

13T = 8

T, or  

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