Is the supplication of one who did not rush the answer accepted, if others who supplicated with him for the same matter rushed it?

A Muslim's supplication is answered as long as he does not become impatient and abandon supplication, or supplicate for a sin or the severance of kinship ties. Impatience is when the supplicant says: "I supplicated but I was not answered," and then abandons supplication. Impatience may be a reason for the supplication not being answered. Furthermore, the answering of supplication is broader than granting the specific request. Allah may avert an decreed evil through supplication, or store up the reward for the supplicant in the hereafter, or delay the answer for a wisdom. It is not a condition that healing from illness be a direct result of supplication, for Allah may heal him due to a wisdom. And He may answer the supplication of one person but not another. Such matters are of the unseen and are known only through revelation.