Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation 2.9 Word Problems - Distance, Money, Fractions
1. Read the problem carefully and note down what is given and what is required.
2.Select a letter say x or y or z to represent the unknown quantity asked for.
3. Represent the word statements of the problems in the symbolic language step by step.
4. Look for quantities which are equal as per conditions given and form an equation.
5. Solve the equation.
6. Verify the result for making sure that your answer satisfies the requirements of the problems.
Micheal traveled 5/8 of distance by train, 1/4 by bus and the remaining 15 miles by boat. Find the total distance traveled by him. Solution:
Let the total distance traveled by Micheal is = x miles
Distance traveled by train = 5x/8 miles
Distance traveled by bus = x/4 miles
\ Total distance traveled by train and bus in miles = 5x/8 + x/4 = (5x+2x)/8 = 7x/8
Remaining distance in miles = x - 7x/8 miles
Þ (8x-7x)/8 = x/8 miles
Micheal traveled this distance by boat.
\ given that this distance = 15 miles
x/8 = 15 miles.
\ x = 120 miles.
\ Total distance traveled by Micheal is 120 miles.
Distance traveled by train = 5x/8 = 5*120/8 miles = 5*15 miles = 75 miles.
Distance traveled by bus = x/4 miles = 120/4 miles = 30 miles.
\ Distance traveled by boat in miles = 120-(75+30) = 15 miles.
\ x = 120 is the solution.
Directions: Solve the following word problems. Also write at least ten word problem examples of your own.