DISTANCE WORD PROBLEMS WITH SOLUTIONS
Here, we are going to see some distance word problems with solutions.
Distance Word Problems with Solutions
Problem 1 :
The coordinate plane represents a map. Each grid unit represents 20 miles. A retail company has warehouses at M(−70, 10) and N(50, 10). How long does it take a truck that drives 40 miles per hour to travel from warehouse M to warehouse N ?
Solution :
Let us locate the points M(−70, 10) and N(50, 10) on the graph.
Step 1 :
Identify the important information.
One warehouse is located at M(−70, 10). The other is at N(50, 10).
A truck drives from M to N at a speed of 40 miles per hour.
Step 2 :
Find the distance between M and N by adding the absolute values of the x-coordinates of the points.
Find the time it takes the truck to drive this distance by using this relationship : distance = rate · time.
Step 3 :
Add the absolute values of the x-coordinates to find the distance between point M and point N on the grid.
|-70| + |50| = 70 + 50 = 120
The warehouses are 120 miles apart.
The truck drives 120 miles at 40 mi/h. Because 120 = 40(3), it takes the truck 3 hours to travel from M to N.
Justify and Evaluate :
We found the sum of the absolute values of the x-coordinates to find the horizontal distance on the grid.
Then, we used the formula
Distance = Rate · Time
to find the time it takes to drive that distance.
Problem 2 :
The coordinate plane represents a map. Each grid unit represents 20 miles. A retail company has warehouse at and N(50, 10) and a store is located at P(50, -30). How long will it take a truck driving at 50 miles per hour to drive from warehouse N to this store ?
Solution :
Let us locate the points N(50, 10) and P(50, -30) on the graph.
Step 1 :
Identify the important information.
The warehouse is located at N(50, 10) and the store is located at P(50, -30) and
A truck drives from N to P at a speed of 50 miles per hour.
Step 2 :
The line which connects N and P is parallel to y-axis.
Find the distance between N and P by adding the absolute values of the y-coordinates of the points.
Find the time it takes the truck to drive this distance by using this relationship : distance = rate · time.
Step 3 :
Add the absolute values of the y-coordinates to find the distance between point N and point P on the grid.
|10| + |-30| = 10 + 30 = 40
The store P and the warehouse N are 40 miles apart.
The truck drives 40 miles at 50 mi/h. Because 40 = 50(0.8), it takes the truck 0.8 hours or 48 minutes to travel from N to P.
(0.8 hrs = 0.8 x 60 = 48 minutes)
Justify and Evaluate :
We found the sum of the absolute values of the y-coordinates to find the vertical distance on the grid.
Then, we used the formula
Distance = Rate · Time
to find the time it takes to drive that distance.
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Recent Articles
-
Writing an Equation from a Table
Apr 02, 20 07:52 AM
Writing an Equation from a Table
-
Trigonometry Questions Worksheet for Grade 11
Apr 02, 20 07:35 AM
Trigonometry Questions Worksheet for Grade 11
-
Problems on Trigonometric Identities with Solutions
Apr 02, 20 07:33 AM
Problems on Trigonometric Identities with Solutions - Concept - Problems with step by step explanation
