A sprinter completes the 100 yard dash in
9.30 seconds. How long would it take her to
complete 100. meters if she continued at the
same speed?
1. 10.2 sec
2. 10.9 sec
3. 10.7 sec
4. 9.30 sec
On second thought that "continuing on to 100 m" part of the question began to bother me. So she completes 91.44 m in 9.30 s, that leaves 100-91.44 = 8.56 m to go and it takes her 8.56m/9.832m/s = 0.871 s to finish to the 100 m mark. Then 0.930 + 0.871 = ? and that gives the same answer as in the first response above. So I guess it makes no difference how the question is interpreted.
NOTE: I have redone the first response to correct a typo where I wrote - instead of =. Corrected is below.
1 yard = 0.9144 meters. 100 yards = 91.44 m.
Speed = 91.44 m/9.30 s = 9.832 m/s.
Then 9.832 m/s x (#sec) = 100 m
Solve for # sec
To find out how long it would take the sprinter to complete 100 meters at the same speed, we need to convert 100 yards to meters and then use the sprinter's 100-yard dash time to calculate the time for 100 meters.
1 yard is equal to 0.9144 meters, so to convert 100 yards to meters, we multiply 100 by 0.9144:
100 yards = 100 * 0.9144 = 91.44 meters
Next, we find the sprinter's speed in meters per second. To do this, we divide the distance in meters by the time in seconds:
Speed (m/s) = Distance (m) / Time (s) = 91.44 / 9.30 ≈ 9.854 m/s
Finally, to find the time it would take to complete 100 meters, we divide the distance by the speed:
Time (s) = Distance (m) / Speed (m/s) = 100 / 9.854 ≈ 10.15 seconds
Therefore, the closest option from the given choices is 10.2 seconds (option 1).
1 yard = 0.9144 meters. 100 yards = 91.44 m.
Speed = 91.44 m/9.30 s - 9.832 m/s.
Then 9.832 m/s x (#sec) = 100 m
Solve for # sec