Answer:
The student played basketball for 40 minutes.
Explanation:
Given that one week a student exercised for 2 hours at school and for 2/3 of an hour at home, it can be stated that the student exercised for 2 hours and 40 minutes (since 60 x 2/3 is equal to 40 ). Thus, in total the boy exercised for 160 minutes (2 x 60 + 40).
Now, since he spent 1/4 of that time playing basketball, the time spent doing this sport is determined through the following calculation:
160/4 = X
40 = X
Thus, the student played basketball for 40 minutes.