Lesson Entertaining catching up arithmetic Travel & Distance problems
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<H2>Entertaining catching up arithmetic Travel & Distance problems</H2> <H3>Problem 1</H3>A wolf notices a hare 50 meters away and starts chasing the hare. At the same moment, the hare sees the wolf and starts running away. The wolf and the hare run in a same straight line. The wolf runs at a speed of 4 meters per second. The hare runs at a speed of 3 meters per second. How long will it take the wolf to catch up with the hare? <B>Solution</B> <pre> The initial distance between the wolf and the hare is 50 meters. Every second, this distance decreases by 4-3 = 1 meter. Hence, the wolf will catch up with the hare in 50/1 = 50 seconds. <U>ANSWER</U> </pre> <H3>Problem 2</H3>A patrol boat spots a poacher's boat and heads towards it; the poacher's boat tries to escape. Both boats are moving in a straight line; the initial distance between them is 2 kilometers The poacher's boat is moving at 20 kilometers per hour. The patrol boat is moving at 24 kilometers per hour. How long will it take the patrol boat to catch up with the poacher's boat? <B>Solution</B> <pre> The initial distance is 2 kilometers, and it increases at the rate 24-20 = 4 kilometers per hour. Hence, the patrol boat will catch up with the poacher's boat in 50/1 = 50 seconds. <U>ANSWER</U> </pre> My other lessons on arithmetic word problems in this site are <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Arithmetic-word-problems-to-solve-them-MENTALLY.lesson>Arithmetic word problems to solve them MENTALLY</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Solving-arithmetic-word-problems-by-reasoning.lesson>Solving arithmetic word problems by reasoning</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Simple-arithmetic-word-problems-solved-in-a-right-way.lesson>Simple arithmetic word problems solved in a right way</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Arithmetic-coin-problems.lesson>Arithmetic coin problems</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Simple-arithmetic-word-problems-on-rate-of-work.lesson>Simple arithmetic word problems on "rate of work" </A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Simple-and-simplest-arithmetic-Travel-and-Distanse-problems.lesson>Simple and simplest arithmetic Travel & Distance problems</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Typical-arithmetic-Travel-and-Distance-problems.lesson>Typical arithmetic Travel & Distance problems</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Other-basic-arithmetic-Travel-and-Distance-problems.lesson>Other basic arithmetic Travel & Distance problems</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Arithmetic-word-problems-on-Travel-and-Distance.lesson>Advanced arithmetic word problems on Travel & Distance</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Finding-travel-time-and-average-rate.lesson>Finding travel time and average rate</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Flying-back-and-forth.lesson>Flying back and forth</A> <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/OVERVIEW-of-lessons-on-arithmetic-word-problems.lesson>OVERVIEW of the first group of lessons on arithmetic word problems</A> To see the whole list of lessons on arithmetic problems, use this link <A HREF=https://www.algebra.com/algebra/homework/NumericFractions/Arithmetic-problems-YOUR-ONLINE-TEXTBOOK.lesson>Arithmetic problems - YOUR ONLINE TEXTBOOK</A> It is your way to the entry page of the online textbook on Arithmetic problems.