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Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Saba, Rayan and Derin are cooperating to complete a task. They each work at a constant rate independent of whoever else is working on the task. When all three work together, it takes $5$ minutes to complete the task. When Saba is working with Derin, the task takes $7$ minutes to complete. When Rayan is working with Derin, the task takes $15$ minutes to complete. How many minutes does it take for Derin to complete the task on his own?

(A) $21$ (B) $28$ (C) $35$ (D) $48$ (E) $105$

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