Question

A cat chases a mouse, which has a 160-meter head start. For every 7 meters the mouse runs, the cat runs 9 meters. How far must the cat run to catch the mouse?​

Answer 1

• 720 m

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Let the distance we are looking for be d.

If cat runs d meters, then mouse runs 160 m less because of the head, and the ratio of the distance they cover is 9/7.

Set up an equation to reflect it:

• d/(d - 160) = 9/7

Solve it for d:

• 7d = 9(d - 160)
• 7d = 9d - 1440
• 9d - 7d = 1440
• 2d = 1440
• d = 720

So, the cat must run 720 m to catch the mouse.