Final answer:
By dividing the total time of 6 hours by the duration of one field hockey game (1/4 hour), we find that 24 games can be played, making answer (a) correct.
Step-by-step explanation:
To determine how many field hockey games can be played in 6 hours, we need to divide the total time available by the duration of one game. Since one game lasts 1/4 hour, we can calculate the number of games by dividing 6 (total hours) by 1/4 (duration of one game in hours).
Calculation:
- Convert 1/4 hour to minutes if necessary: 1/4 hour = 15 minutes, but since we are working with hours, we can stick to hours.
- Divide total time by the duration of one game: 6 hours ÷ 1/4 hour.
- That is equivalent to multiplying 6 hours by the reciprocal of 1/4, which is 4: 6 × 4 = 24.
Therefore, a total of 24 field hockey games can be played in 6 hours. Answer (a) is correct.