Question

Shonna skateboarded for some number of minutes on Monday. On Tuesday, she skateboarded for twice as many minutes as she did on Monday, and on Wednesday, she skateboarded for half the sum of minutes from Monday and Tuesday. Altogether, she skateboarded for a total of three hours. How many minutes did she skateboard each day?

Answer 1

Call the minutes she spend skateboarding on Monday as x

On Tuesday, she skateboarded for twice as many minutes -> 2x
On wednesday, she skateboarded for half the sum of minutes from Monday and Tuesday -> (x+2x)/2 = 1.5x

In total, she skateboarded a total of 3 hours (180 minutes) -> 2x + x + 1.5x = 4.5x = 180

-> x = 180 : 4.5 = 40

So, she spend 40 minutes on Monday, 80 minutes on Tuesday and 60 minutes on Wednesday


Recheck : She spend 80 : 40 = 2 times as much time on Tuesday than Monday, and she spend half the sum of Monday and Tuesday : (40+80)/2 = 60, and 40 + 80 + 60 adds up to 180, which is 3 hours.