![]() ![]() Let the time after which they meet be ‘t’ hours. After 2 hours, another train starts from Y and travels towards X at 20 mph. A train starts at a certain time from X and travels towards Y at 70 mph. X and Y are two stations which are 320 miles apart. When we express distance in terms of miles or kilometers, time is expressed in terms of hours and has to be converted into appropriate units of measurement.Įxample 1. Note: Note the time is expressed in terms of ‘minutes’. So the actual time taken to cover the distance is 15 minutes. Let us assume that its usual speed is ‘s’ and time is ‘t’, then Distance Find its usual time to cover the same distance. A train is going at 1/3 of its usual speed and it takes an extra 30 minutes to reach its destination. So, he covered a distance of 6 miles in 1.5 hours.Įxample 5. IF he walks at 9 mph, he covers 7.5 miles more than the actual distance d, which is ‘d+7.5’. Walking at 4 mph and covering a distance ‘d’ is done in a time of ‘d/4’ Let the distance covered by that person be ‘d’. Let us see how this question can be solved.įor these kinds of questions, a table like this might make it easier to solve. Now we can see that the direct application of our usual formula Distance = Speed * Time or its variations cannot be done in this case and we need to put in extra effort to calculate the given parameters. If he walks at 9 mph, he covers 7.5 miles more. If a person walks at 4 mph, he covers a certain distance. Now, take a look at the following example:Įxample 4. Speed required to cover the same distance in 1.5 hours = 160/1.5 = 106.66 mph What should be its speed to cover the same distance in 1.5 hours? A car takes 4 hours to cover a distance, if it travels at a speed of 40 mph. Speed = Distance/time = 15/2 = 7.5 miles per hour.Įxample 3. A cyclist covers a distance of 15 miles in 2 hours. Time = Distance / speed = 20/4 = 5 hours.Įxample 2. ![]() How much time does he take to walk a distance of 20 km? Let us take a look at some simple examples of distance, time and speed problems.Įxample 1. Problems involving Time, Distance and Speed are solved based on one simple formula. Therefore, the largest integer, x + 2 = 101 + 2 = 103.Before you get into distance, time and speed word problems, take a few minutes to read this first and understand: How to build your credit score in USA as an international student. Now, use the problem to set up an equation. Let the smallest integer equal x let x + 1 equal the next integer let the largest integer equal x + 2. What is the largest integer?įirst, circle what you must find- the largest integer. The sum of three consecutive integers is 306. Therefore, the larger number, 3 x, is 3(5), or 15. Now, using the problem, set up an equation. Therefore, the larger number will be 3 x. What is the larger number?įirst, circle what you must find- the larger number. If one number is three times as large as another number and the smaller number is increased by 19, the result is 6 less than twice the larger number. Therefore, the larger number equals x + 5. If the sum of the two numbers is 39, find the smaller number.įirst, circle what you are looking for- the smaller number. Letting x stand for the number gives the equation Find the number.įirst, circle what you must find- the number. When 6 times a number is increased by 4, the result is 40. Here are some examples solving number problems. Quiz: Linear Inequalities and Half-Planes.Solving Equations Containing Absolute Value.Inequalities Graphing and Absolute Value. ![]()
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