Answered

Lucy and Emily are racing with each other and Lucy is 90
meters in front of Emily. The distance (in meters) that Lucy runs,
for every second t, can be given by A(t)=2t and the distance (in
meters) that Emily runs, for every second t can be given by
B(t)= 5t. How many seconds will it take for Emily to catch up
with Lucy? Give your answer to the nearest whole number.
Enter the answer

Answer :

FICHOHGO

Using the system of equation created, Emily will catch up Lucy after 30 seconds

Given the Parameters :

  • Lucy's distance = 2t
  • Emily's distance = 5t

We can set up an equation to represent the required scenario thus :

Emily's distance = Lucy's distance + 90

5t = 2t + 90

We solve for t

Collect like terms :

5t - 2t = 90

3t = 90

Divide both sides by 3 to isolate t

t = 90/3

t = 30

Therefore, Emily will catch up with Lucy after 30 seconds

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