Example of distance - rate problems, Algebra

Assignment Help:

Two cars are 500 miles apart & directly moving towards each other.  One car is at a speed of 100 mph and the other is at 70 mph.  Supposing that the cars start at the same time how much time it take for the two cars to meet?

Solution

Let's assume t represent the amount of time which the cars are traveling before they meet.  Now, we have to sketch a figure for this one. This figure will help us to write the equation which we'll have to solve out.

1270_Example of Distance - rate problems.png

From this figure we can note that the Distance Car A travels as well as the Distance Car B travels has to equal the total distance separating the two cars, 500 miles.

Following is the word equation for this problem into two separate forms.

1466_Example of Distance - rate problems1.png

We utilized the standard formula here twice, once for each car. We know that the distance a car travels is the rate of the car times the time traveled by the car.  In this case we know that Car A travels at 100 mph for t hours & that Car B travel at 70 mph for t hours as well. Plugging these in the word equation and solving out gives us,

100t + 70t = 500

170t = 500

t = 500/170  =2.941176 hrs

Thus, they will travel for approximately 2.94 hours before meeting.


Related Discussions:- Example of distance - rate problems

Algebra 2, How do I take two points, the rise and run, and produce an algeb...

How do I take two points, the rise and run, and produce an algebraic equation?

Circumference, a circular flower bed has radius 22 inches. what is the circ...

a circular flower bed has radius 22 inches. what is the circumference of the bed to the nearest tenth of an inch?

Volume one, the perimeter of a triangle is 76 centimeters. the second side ...

the perimeter of a triangle is 76 centimeters. the second side is twice as long as the first side. the third side is four centimeters shorter then the second side. how long is each

Kelsey, my homework instructions are "solve by factoring" and one of the pr...

my homework instructions are "solve by factoring" and one of the problems is 2x^2+9x=0

Math, what does x when y=2x=3

what does x when y=2x=3

Percentages, in a cloths shop reduces it prices by 20% how much is it on sa...

in a cloths shop reduces it prices by 20% how much is it on sale

Problem Solving, What do you have to do to be able to answer any problem so...

What do you have to do to be able to answer any problem solving questions (relating to or concerning algebra)?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd