Math, asked by akeerapraveen4791, 1 year ago

Where can u use simultaneous equations in real life?

Answers

Answered by RaviKumarNaharwal
0
Simultaneous equations are a system of equations that are all true together. You must find an answer or answers that work for all the equations at the same time. For example, if you’re working with two simultaneous equations, even though there may be a solution that makes one of the equations true, you must find the solution that makes both equations true. Simultaneous equations can be used to solve everyday problems, especially those that are more difficult to think through without writing anything down.

RATE, DISTANCE AND TIME

You know your running pace. You are going to run half of a predetermined route of 14 miles alone and run with a friend for the second half of it. You want to know how long it will take you to run the first half at your pace and the second half at your friend’s pace. Your pace is 7 mph, and hers is 20 percent slower. You can use simultaneous equations to solve this problem. Distance in miles (d) equals the rate in mph (r) multiplied by the time in hours (t). So for this problem, d1 = r1 * t1 and d2 = r2 * t2. You know that d1 = d2, and r2 = 0.8 * r1. So r1 * t1 = 0.8 * r1 * t2, divide by r1 on both sides, and t1 = 0.8 * t2. You know d1 = d2 = 7, so you will run the first 7 miles in 1 hour and you will run the second 7 miles in 1.25 hours or 75 minutes.

PLANES, TRAINS AND AUTOMOBILES

The same formula used to calculate running times can be used to determine speed, distances and time duration when traveling by car, plane or train and you want to know the values for the unknown variables in your travel situations.

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