After the sixties book ‘Silent Spring’, scientists understood the great importance of designing pesticides and herbicides which do their job and then break down quickly, so there is less of a problem today than then. There are recommended withholding periods for fruit and veg, that is the grower should hold produce off the market for the recommended period. I live in rural Australia, and some time in the seventies, I was talking to an inspector from the Department of Agriculture, and he said that there was not enough to staff to test all produce for concentrations of pesticides at the market. He recommended peeling apples, pears and similar fruit. Bananas are always peeled.
Washing fruit and veg under cold water is similar to rain falling on the produce, and pesticides are meant to cling to produce long enough to do their job. I suggest washing produce either in slightly soapy water, then rinse, or under a trickle of boiling water, which will also kill bacteria.