A ten-inch candle is being burned at both ends. one end burns at the rate of one inch per hour; the other end, one-and-a-half in ches per hour. how far from the center of the candle will the burning ends meet?
1 answer:
First keep in mind that the center is 5 inches...let L and R be the left and right positions of the two flames... L=h and R=10-1.5h where h is in hours.... The two flames meet when L=R so we can say: h=10-1.5h add 1.5h to both sides 2.5h=10 divide both sides by 2.5 h=4 So the flames will meet in five hours, using either original equation we can find this position, I'll use L=h.. L=4 So the position of the flames is 4" from the end. The questions ask how far this point is from the center so: 5-4=1" So the flames meet 1 inch from the center.
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