Time to conduct the same heat when two identical rods are switched between series and parallel

This type of question, asked 2 times: 4 May 2023 S1, 20 Apr 2026 S1. All 2 questions below, oldest first.

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Question 1
4 May 2023 S1
25 $Two rods of same length and material transfer a given amount of heat in 12 s when they are joined end to end. But when they are joined length wise parallel to each other they will transfer same amount of heat in same condition in time$
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Question 2
20 Apr 2026 S1
113 $Two rods of same length, radius and material transfer a given amount of heat in 't' second when they are joined as shown in fig (1). But when they are joined as shown in fig (2) then they will transfer same heat in same condition in time$
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Question 1