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About Chen Min
Expertise
All the conceptual questions except for probabilities and statistics are welcomed. I am good at answering your algebra (including logarithm, functions, trigonometry) and geometry questions. I can also provide to you a firm understanding into calculus and other mathematical ideas and concepts. You can either ask questions in English or Chinese. Important:Please avoid asking me questions related to economics.After all, I am only a secondary school student

Experience
A lot of participation in Math Olympiad Competition with numerous awards (Not always gold, though)

Education/Credentials
So far, nothing.

 
   

You are here:  Experts > Science > Mathematics > Advanced Math > application of quadratic equations

Topic: Advanced Math



Expert: Chen Min
Date: 5/5/2008
Subject: application of quadratic equations

Question
1. Some students planned for a get-together. The budget for food was $5... Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?

2. Steve traveled 600 miles at a certain speed. Had he gone  20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

3.Rita rows 12 km upstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream.

Answer
1.Assume there were x students to come in the plan,
 the total food price = 5x
 the actual number of students = x-5
 the total food price = 10(x-5)
 as the total food price does not change,
 5x = 10(x-5)
 x = 10....quadratic???

2.Assume the speed is v mph,
 600/v ```````his time on the trip
 600/(v + 20)``````````his expected time on trip
 1`````````the difference in time taken.

 Hence 600/v = 600/(v+20) + 1
 Simplify it, vē+20v-12000 = 0
 Factorise it, (v+120)(v-100) = 0
 As v must be positive, v=100

3.Assume he's rowing in still water, then in 3 hrs, he should've                    
 advanced 3*9 = 27km
 The water opposing him "dragged" him 27-12 = 15km
 The speed of water is 15/3 = 5km/h
 (This question is not about quadratic equation, I reckon...)

Hope this helps:)

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