For you to have moved from dar to nairobi in one hour implies you use a plane meaning there is an exit and entry visa on your passport. 

Andrew can provide his passport as proof he did not travel, so additional document to provide am assuming they wont assume you travelled on those EAC permits. 

In the statement does it relfect if it was an ATM withdrawal cause that would be easier but I can assure you it will take some time before they reverse that transaction. Heard of cases where it took 6 months. 

regards 

night owl