How to save executing time of select list from multi conditions

Question

I have a matrix:

`MT={{1, 54, 55}, {2, 841, 5}, {3, 6, 65}, {4, 28, 328}, {5, 188, 21}, {6, 2, 887}, {7, 36, 32}, {8, 7, 2}}`

And i need select the list which the 1st Raw WL={1,5,7,8}

The result will be {{1, 54, 55}, {5, 188, 21}, {7, 36, 32}, {8, 7, 2}}

But I want to save the executing time from the code:

Catenate[Table[ Select[MT, #[[1]] == WL[[i]] &], {i, Dimensions[WL][[1]]}]]

By this method, when Dimension[WL] too long, the executing time also become longer.

Does any method or function can easily save the executing time from this case?

Answer 1

You can use Cases

Cases[{Alternatives @@ WL, __}] @ MT

{{1, 54, 55}, {5, 188, 21}, {7, 36, 32}, {8, 7, 2}}