3×(4h15min-2h42min÷6+7h17min)

To solve this expression, we need to follow the order of operations (also known as PEMDAS or BODMAS).

First, let's simplify the expression inside the parentheses: 2h42min ÷ 6 = (2 × 60 min + 42 min) ÷ 6 = (120 min + 42 min) ÷ 6 = 162 min ÷ 6 = 27 min

Next, let's substitute the simplified values back into the expression: 3 × (4h15min - 27 min + 7h17min)

Now, let's simplify the hours and minutes separately: 4h15min = 4h × 60 min + 15 min = 240 min + 15 min = 255 min 7h17min = 7h × 60 min + 17 min = 420 min + 17 min = 437 min

Finally, substitute the new values into the expression: 3 × (255 min - 27 min + 437 min)

Now, solve the expression inside the parentheses: 255 min - 27 min + 437 min = 665 min

Finally, multiply the result by 3: 3 × 665 min = 1995 min

Therefore, 3 × (4h15min - 2h42min ÷ 6 + 7h17min) = 1995 min.