Question

five runners, Andy, Beth, Dale, Ella, and Tri, are in a one mile race. tri finished 5 seconds before Beth. Beth finished 3 seconds before Andy. Andy finished 4 seconds after dale. dale finished 6 seconds after Ella. in which order did the runners finish the race?

Answer 1

T = B - 5....T = A - 8....T = D - 4...T = E - 10
B = A - 3....B = D + 1....B = E - 5...B = T + 5
A = D + 4....A = E - 2....A = B + 3....A = T + 8
D = E - 6....D = T + 4...D = A - 4....D = B - 1
E = D + 6....E = A + 2...E = T + 10...E = B + 5

Tri finished 1st
Dale finished 2nd
Beth finished 3rd
Andy finished 4th
Ella finished 5th

Answer 2

The runners finish the race in order :

1)Ella

2)Tri

3)Dale

4)Beth

5)Andy

Explanation:

Let Ella took x seconds .

Dale finished 6 seconds after Ella.

Dale took time = x+6

Andy finished 4 seconds after dale.

Andy's time = x+6+4=x+10

Beth finished 3 seconds before Andy.

Beth's time = x+10-3=x+7

Tri finished 5 seconds before Beth

Tri's time = x+7-5=x+2

So, time sequence : x,x+2,x+6,x+7,x+10

So, the runners finish the race in order :

1)Ella

2)Tri

3)Dale

4)Beth

5)Andy