Final answer:
Without the respective pricing structures for the BigPhone Company and Little Phone Company, we cannot determine when they charge the same amount. More information about their rates is needed to answer this mathematics question correctly.
Step-by-step explanation:
The provided details seem disjointed and have no clear relation, making it challenging to determine the exact minutes BigPhone Company and Little Phone Company charge the same amount without the actual pricing structures of the companies.
Typically, such a question would involve setting up equations based on the rates charged by each company and solving for the time at which the total costs are equal. However, without the rates or additional context about how these companies charge for phone minutes, it is not possible to provide a correct answer to the student's question.
Unfortunately, the question does not provide any information about the charging rates of the two companies, so we cannot determine the answer based on the given options. Without additional information, we cannot determine for how many minutes the two companies charge the same amount.