(a) In track meets both 100 yards and 100 meters are used as distances for dashes. Which is longer? By how many meters is it longer? By how many feet? (b) Track and field records are kept for the mile and the so-called metric mile (1500 meters). Compare these distances.

The relation between yard and feet is
1 yard = 3 ft
Now, 100 yards is equal to
100 yard = 100 (3 ft)
= 300 ft
The relation between feet and meter is
1 m = 3.28 ft
Now, 100 m is equal to
100 m = 100(3.28 ft)
= 328 ft
The relation between yard and meter is
1 yard = 0.914 m
Now, 100 yard is equal to
100 yard = 100 (0.914m)
= 91.4 m
Therefore, 100 m is longer than the 100 yard.
The difference between 100 yard and 100 m in meters is
100 m – 100 yard = 100 m -91.4 m
= 8.6 m
Therefore, 100 m is longer than the 100 yard by 8.6 m .
The difference between 100 yard and 100 m in ft is
100 m – 100 yard = 328 ft – 300 ft
= 28 ft
Thus, 100 m is longer than 100 yard by 28 ft.
(b) The relation between mile and meter is
1 m = 6.21 x 10^-4 mi
Now, 1500 m is equal to

Rounding off to three significant figures, the value of 1500 m is 0.932.