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Basic characteristics of a Mobile Adhoc Network (MANET) include formation of a network without any kind of infrastructure. A MANET frequently faces the challenges of dynamic topology change and inadequate resources. To communicate between source to destination during data transmission it applies the multi-hop routing method. So the amount of delay a packet experiences during transmission from source to destination is always a challenging issue in MANET. To reduce delay at different levels such as routing delay which is time required to search a path from source to destination, a processing delay that occurs when a node executes the processing for the packet for next transmission, a compression and decompression delay which is associated with audio files many innovative proposals have been developed by networking experts but still it lies as a major challenging issue. Again the proper power management of nodes in MANET plays a vital role in efficient routing. In this paper a systematic study has been carried out about different challenging issues associated with delay and power during routing in MANET and analysis has been done about important protocols of MANET dealing with delay and power.