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Interesting Computer Project

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Submitted By parkkevin
Words 277
Pages 2
Problem 1: a car left a house to go to an airport between 9 o’clock and 10 o’clock. If it moves at a speed of 88km/h and if the hour needle and the minutes needle overlaps when the car has traveled for 28km, solve 1) When the two needles overlap 2) When the car left the house
Steps for solving: 1) 360degree/60=6degree
(The minutes need moves 6degree every minute) 2) 360degree/12/60=0.5degree
(The hour needle moves 0.5degree every minute) 3) At 9 o’clock 360*3/4=270degree 4) If the two needles overlap x minutes later 6x=270+0.5x 5) X=540/11 6) Answer: The two needles overlap at 9 o’clock 49 and 1/11minutes
Second answer solution: 1) The car moved for 28/88*60minutes so it started moving at
540/11-28/88*60=540/11-210/11=330/11=30minutes
2) The car started moving at 9 o’clock 30 minutes
Problem 2: there is a rectangle with sides that has a ratio of 1:2. The short side’s length is increased by 10cm while 5cm is reduced from the longer side. The new rectangle is 50% larger than the one before. Solve for the original side that was shorter than the other. 1) X=shorter side of the original rectangle 2) New sides are (x+10)cm and (2x-5)cm 3) X>0, x+10>0, 2x-5>0 x>5/2 4) (x+10)(2x-5)=3/2*(x*2x)
2x2-5x+20x-50=3x2
X2-15x+20=0
(x-5)(x-10)=0
5) X=5,10

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