Question

A stopwatch records the time for the winner of a 100 metre race as 14.7 seconds, measured to the nearest one tenth of a second.
a. Write down the greatest and least possible times of the winner.
b. The length of the 100 metre track is correct to the nearest 1 meter. Write down the greatest and least
possible lengths of the track.
c. Calculate the fastest possible average speed of the winner with a time of 14.7 seconds in the 100 meter race.​

Answer 1

Given : A stopwatch records the time for the winner of a 100 metre race as 14.7 seconds, measured to the nearest one tenth of a second.

The length of the 100 metre track is correct to the nearest 1 meter.

To Find :  

a)  greatest and least possible times of the winner.

b)  greatest and least possible lengths of the track.

c)  fastest possible average speed of the winner with a time of 14.7 seconds in the 100 meter race.

Solution:

14.7 seconds, measured to the nearest one tenth of a second.

greatest and least possible times of the winner.

 least  = 14.65  

greatest =  $14.74\overline{9}$

The length of the 100 metre track is correct to the nearest 1 meter.

greatest and least possible lengths of the track.

least = 99.5  

greatest = $100.4\overline{9}$

fastest possible average speed of the winner with a time of 14.7 seconds in the 100 meter race.

fastest possible average speed  when

Distance Max =  $100.4\overline{9}$

Time least = 14.65  

N = $100.4\overline{9}$  

fastest possible average speed   = 6.86 m/s

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