Question

Lucy and Emily are racing with each other and Lucy is 90

Answer 1

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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