My Daughter got this for homework and Im curious to know how to work it out.?

[JamieS]

Julie wears a pedometer when she is walking or jogging. It shows The number of steps taken and based on her step length, the distance she has traveled in km (correct to 2 decimal places). Julie has measured her step length to be 95cm when she is jogging and 65cm when walking.On Monday she set her step length to 95cm and jogged a certain distance from home. Then she got tired and entered her walking step length into the pedometer and walked the remaining distance to a friends house. When she arrived the pedometer showed a total of 4812 steps and a total distance of 3.75km. At what distance from Julies home (in Km correct to the 2 decimal places) did she stop jogging?

[BentlySlick]

nice try kid. Acting like the curious mom when u really need the answer to complete ur homework.

[redribbondojo]

not enough info

[Scranderberry2743]

let x = number of running stepslet y = number of walking stepsx + y = 481295x + 65y = 375000 (to put it in cm)solve simultaneouslyx = 4812 - y95(4812 - y) + 65y = 375000 457140 - 95y + 65y = 375000-30y = -82140y = 2738x = 4812 - 2738= 20742074*.95 = 1970.3m = 1.97km

[MSS7769]

At what distance from Julies home (in Km correct to the 2 decimal places) did she stop jogging? Is the answer, it is either a two variable question or a single, based on one variable. I would say Distance=Rate*Time create a two level table and figure out the equation, or get your son to.

[Sangmo4175]

Your daughter will be able to show you how to work it out, because she will have been doing problems like this at school recently.

[PiRSquared]

Hi,J = # of jogging stepsW = = # of walking stepsJ + W = 481295J + 65W = 375,000 (3.75 km as centimeters)Multiply the top equation by -65 and add the equations together.-65(J + W = 4812)95J + 65W = 375,000-65J - 65W = -312,78095J + 65W = 375,000--------------------------------30J = 62,220J = 2074 Julie jogged 2,074 steps, so at 95 cm/step, this is 197,030 cm. This is a distance of 1.97 km to 2 decimal places.I hope that helps!! :-)

[AdityaK]

let [x] be the number of steps she jogged, and [y] be the number of steps she walkedtotal steps = 4812x + y = 48123.75km = 3750m = 375,000 cmdistance is equal to the number of steps multiplied by the length of each steptherefore,95 (number of steps jogged) + 65 (number of steps walked) = 375, 000-->> 95x + 65y = 375,000, which can be reduced to (by diving both sides by the same number) 19x + 13y = 75, 000so now we have two equations which we can solve simultaneously x + y = 4812 .....(1)19x +13y = 75000 .....(2)multiplying (1) by 19, we get19x + 19y = 4812 *19now we subtract (2) from (1) to get(19x - 19y) + (19y - 13y) = 4812(19) - 75000so 6y = 4812 (19) - 75000 = 16428therefore, y = 16428/6 = 2738y = number of steps walked.therefore, Julie walked 2738 stepsshe took a total of 4812 steps, and soshe jogged x steps= 4812 - 2738= 2074 stepsy = 2738 steps, x = 2074 stepsshe stopped jogging after 2074 ( 95) cm = 197030 cm = 1.97 kmP.S. - exactly Sangmo . maybe it isn't the mother at all

[NeedUrHelp]

Let: j = number of steps taken while jogging w = number of steps taken while walkingJ = distance traveled by jogging, metersW = distance traveled by walking, metersEquation1: j + w = 4812Equation2: J + W = 3750 (note: 1 kilometer = 1000 meters; 1 meter = 100 cms)But, J = 0.95j and W = 0.65wTherefore, 0.95j + 0.65w = 3750 Equation3From Equation1: j = 4812 - w Equation4Substitute Equation4 to Equation3:0.95(4812 - w) + 0.65w = 3750Solve for w:0.95(4812) - 0.95w + 0.65w = 3750-0.95w + 0.65w = 3750 - 0.95(4812)-0.30w = -821.4w = 2738 stepsW = 0.65 * 2738 = 1779.7 meters j = 4812 - 2738 = 2074 stepsJ = 0.95 * 2074 = 1970.3 meters = 1.97 kilometersTherefore, Julie stopped jogging and started walking 1970.3.7 meters or 1.97 kilometers from her home.To check:J + W = 37501779.7 + 1970.3 = 37503750 = 3750 Yes!

[mitali_comp]

Let the no. of steps taken while jogging be xLet the no. of steps taken while walking be yTotal no. of steps = 4812=> x+y=4812 -------------(1)Step length while jogging is 95 cmThus, total distance travelled while jogging=95xStep length while walking is 65cmThus, total distance travelled while walking=65yTotal distance travelled = 3.75km = 375000 cm95x+65y=37500019x+13y=75000 ---------(2)Multiplying eqn (1) by 1313x+13y=62556 --------------(3)eqn(2)-eqn(3)6x=12444x=2074No. of steps taken while jogging is 2074Thus, disatnce travelled while jogging will be 2074*95=197030cm=1.97 kmThus, the distance from Julies home (in Km correct to the 2 decimal places) at which she stopped jogging is 1.97km