Carl and André are running a race. Carl runs at a constant speed of xm/s. André runs at a constant speed of ym/s. Carl starts running, and then André starts running 20 s later. After André has been running for 10 s, he catches up to Carl. What is the ratio y:x?
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
André runs for 10 seconds at a speed of ym/s. Therefore, André runs 10ym. Carl runs for 20 seconds before André starts to run and then 10 seconds while André is running. Thus, Carl runs for 30 seconds. Since Carl runs at a speed of xm/s, then Carl runs 30xm. Since André and Carl run the same distance, then 30xm=10ym, which means that xy=3. Thus, y:x=3:1.
Source: Omni-MATH,
licensed Apache-2.0.
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