# GEN MATH

Solve the ff. problems below. Show your complete solution:

1.) A number added to four times its reciprocal is equal to the sum of 3/2 and the quotient of two or more than three times the same number and four.

2.) A car travelled the first 240 kilometers at a certain speed and then, the next 192 kilometers 8kph faster than its initial spee. What is the initial speed if the entire trip took 10 hours?

3.) maricris rides her power boat up and down the Agno river. The water in the river flows at 6miles per hour. Maricris takes 5 hours longer to travel 360 miles against the current than she does to travel 360 miles along with the current. What is the speed of Maricris' boat in still water?

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1. 2.) (240/x)+192/(x+8 )] = 10 , then solve..

3.) 360/(x-6) = [360/(x+6)] +5, Then solve..
Kilala kita! Hahahaha

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2. On number 1, let x be the number, and 1/x be its reciprocal.

So [x + 4(1/x)] = (3/2)+[(2+3x)/4]
>>[x +(4/x)] = (3/2) +[(2+3x)/4]

Distribute mo sa bawat term ung LCD nya which is 4x!! Okay? Using Multiplication distribute property. Wag tanga!!

>> 4x (x)+4x (4/x) = 4x (3/2) + 4x [(2+3x)/4]
>> 4x^2 + 16 = 6x+2x+3x^2
>>x^2-8x+16=0
>>(x-4)(x-4)
>> (x=4) <---- Final answer/huling sagot. Ahahahahaha

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