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Five runners, Andy, Beth, Dale, Ella, and Tri, are in a one-mile race. Tri finished 3 seconds before Ella. Ella finished 6 seconds after Dale. Dale finished 7 seconds after Andy. Andy finished 4 seconds before Beth. In which order did the runners Finnish the race?

Respuesta :

Answer:

Andy > Beth > Dale > Tri > Ella

Step-by-step explanation:

Let the time taken by Beth to complete the race = x seconds,

Andy finished 4 seconds before Beth,

⇒ Time taken by Andy = (x -4) seconds,

Dale finished 7 seconds after Andy,

⇒ Time taken by Dale = (x-4) + 7 = (x+3) seconds,

Ella finished 6 seconds after Dale.

⇒ Time taken by Ella = (x+3) + 6 = (x+9) seconds,

Tri finished 3 seconds before Ella,

⇒ Time taken by Tri = (x+9) - 3 = (x+6) seconds,

Since, x - 4 < x < x + 3 < x + 6 < x + 9

Thus, the increasing order of time taken by them,

Andy < Beth < Dale < Tri < Ella,

The one who takes less time is the winner,

Hence, the order of finishing the race is,

Andy > Beth > Dale > Tri > Ella

abidemiokin

The required order based on their speed will be Andy < Dale < Tri < Ella

Given five runners are Andy, Beth, Dale, Ella, and Tri. We are to determine the order in which they finished the race.

Let the speed of Beth be y

If Andy finished 4 seconds before Beth, the speed of Andy will be x - 4

If Dale finished 7 seconds after Andy, the speed of Dale will be x -4 + 7= x+3

If Ella finished 6 seconds after Dale, the speed of Ella will be (x+3) + 6 = x+9

If Tri finished 3 seconds before Ella, the speed of Tri will be x + 9 - 3 = x+ 6

Arranging their speed in increasing order of magnitude will be x - 4 < x+ 3 < x+6 < x+9

Hence the required order based on their speed will be Andy < Dale < Tri < Ella

Learn more here: https://brainly.com/question/13262646

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