Mathematics for IGCSE & O level - Limits Of Accuracy (Section 2 - No. 50)
In a race, Don Quarrie ran 100 m in 9.9 s (correct to 1 d.p.). In 1983, Calvin Smith ran it in 9.93 s (correct to 2 d.p.). What can we say about the difference in the running times?
The fastest time could be Quarrie's.
The slowest time could be Smith's.
The difference could be up to 0.13 seconds.
The difference could be more than 0.1 seconds
Explanation
Quarrie: 9.85 - 9.95 s; Smith: 9.925-9.935 s. The slowest time Quarrie could run is faster than the fastest time Smith could run (9.925s). The maximum difference is 9.95 - 9.925=0.025. The maximum difference is 9.95-9.925 = 0.025
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