Subjects algebra

Jimbob Race Time D840E5

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1. **State the problem:** JimBob ran a 200-meter race 4 times. His two fastest times averaged 26.3 seconds, his slowest time was 30.3 seconds, and his overall average time was 28.0 seconds. We need to find his time for the third race. 2. **Identify known values:** - Number of races: 4 - Average of two fastest times: 26.3 seconds - Slowest time: 30.3 seconds - Overall average time: 28.0 seconds 3. **Calculate total time for all 4 races:** $$\text{Total time} = \text{average} \times \text{number of races} = 28.0 \times 4 = 112.0 \text{ seconds}$$ 4. **Calculate total time for the two fastest races:** $$\text{Total fastest times} = 26.3 \times 2 = 52.6 \text{ seconds}$$ 5. **Sum known times:** $$\text{Sum of known times} = \text{two fastest times} + \text{slowest time} = 52.6 + 30.3 = 82.9 \text{ seconds}$$ 6. **Find the time for the third race:** $$\text{Third race time} = \text{Total time} - \text{Sum of known times} = 112.0 - 82.9 = 29.1 \text{ seconds}$$ **Final answer:** JimBob's time for the third race was **29.1 seconds**.