A school changes its lesson times.Lessons now start at 8.55 am instead of 9.00 am, and finish at 3.05 pm instead of 3.20 pm. What is the percentage change in the length of the school day

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Step-by-step explanation:

they start 5 minutes earlier.

and end 15 minutes earlier.

that means their school day is now 15-5 = 10 minutes shorter than before.

originally their school day was from 9:00 am to 3:20 pm.

that was 6 hours and 5 minutes :

6×60 + 5 = 360 + 5 = 365 minutes.

so,

365 minutes = 100%

1% = 100%/100 = 365/100 = 3.65 minutes

how many % are 10 minutes ? well, as many as times 1% fits into 10 minutes :

10/3.65 = 2.739726027...% ≈ 2.74%

they reduced the school day by about 2.74%.

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