Question

Дворник Подвальный распилил шахматную доску на клеточки за 70 минут. За какое время Подвальный распилит такую же шахматную доску на двухклеточные «доминошки»?

Answer 1

70/(7+7)*(7+3)=50

................................

Answer 2

To solve this problem, we need to consider the difference between the number of squares in a chessboard and the number of dominoes (two-cell pieces) it can be divided into.

A standard chessboard has 64 squares, and each square can be turned into a two-cell domino. Since there are two cells in each domino, the number of dominoes will be half of the number of squares.

Number of squares in a chessboard: 64 Number of dominoes (two-cell pieces): 64 / 2 = 32

The time it takes to cut the chessboard into dominoes will depend on the number of cuts needed to achieve this. In this case, we need 63 cuts to convert a chessboard into 32 dominoes (since each cut creates two new pieces).

Now, we know that it took Podvalny 70 minutes to cut the chessboard into squares. To find out how long it will take him to cut the chessboard into dominoes, we can assume that the time required for each cut is the same.

Time required for 63 cuts (to get 32 dominoes) = 70 minutes × (63 cuts / 64 squares)

Time required for 63 cuts = 70 minutes × (63/64)

Now, we can calculate the result:

Time required for 63 cuts ≈ 70 minutes × 0.984375 ≈ 68.867 minutes

So, it will take Podvanny approximately 68.867 minutes (or about 68 minutes and 52 seconds) to cut the same chessboard into two-cell dominoes.