Daily Math Puzzle: 2026-03-20
Sharpen your mathematical thinking with fresh puzzles delivered daily.
🧩 New Puzzle Every Day — Free
2026-03-20
In a 100-meter race, Alice beats Bob by 10 meters. In another 100-meter race, Bob beats Carol by 10 meters. If Alice and Carol were to race in a 100-meter dash, assuming they maintain their consistent speeds, by how many meters would Alice beat Carol?
🔥 Build your streak — solve daily in the app
Solution
19 meters — Let A, B, and C represent the speeds of Alice, Bob, and Carol, respectively.
From the first race: When Alice runs 100 meters, Bob runs 90 meters. This means their speeds are in the ratio A/B = 100/90 = 10/9.
From the second race: When Bob runs 100 meters, Carol runs 90 meters. This means their speeds are in the ratio B/C = 100/90 = 10/9.
Now, to find how Alice compares to Carol, we need to find the ratio of their speeds (A/C):
A/C = (A/B) * (B/C)
A/C = (10/9) * (10/9)
A/C = 100/81
This ratio means that for every 100 meters Alice runs, Carol runs 81 meters. Therefore, in a 100-meter race, Alice would beat Carol by 100 - 81 = 19 meters.
Never Miss a Daily Puzzle
Download TestPrepMagic and get push notifications for each day's puzzle. Build daily streaks and track your improvement.
Download Free AppRelated Puzzles
Math Puzzle: 2026-03-19
A list contains 10 positive integers. Their average is 15. If the smallest integer on the list is removed, the average of the remaining 9 integers becomes 16. What is the smallest integer on the original list?
Math Puzzle: 2026-03-18
If 5 identical machines can produce 5 identical gadgets in 5 minutes, how long would it take 100 of these identical machines to produce 100 identical gadgets?
Math Puzzle: 2026-03-17
A bottle and its cork together cost $1.10. The bottle costs $1.00 more than the cork. How much does the cork cost?