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A person goes to his office from his home daily at a fixed speed but today he decided to reduce his speed by 20% as a result he reaches his office 16 minute late. what's the actual time he takes to reach his office daily
Asked by prashantgaikwadfox000 | 25 Sep, 2022, 17:38: PM
answered-by-expert Expert Answer
Let u be the fixed speed of travel and d be the distance between home and office.
 
Normal time of travel = distance / speed = d/u
 
If speed is reduced to 20%, then reduced speed = ( u - 0.2 u ) = 0.8 u
 
time of travel with reduced speed = d / ( 0.8 u )
 
time difference = [ d / ( 0.8 u ) ] - ( d/u ) = 0.25 × (d/u )
 
if time difference is 16 minute, then normal time of travel (d/u) is calculated as
 
0.25 × (d/u ) = 16 min
 
(d/u) = 64 min
Answered by Thiyagarajan K | 25 Sep, 2022, 20:07: PM

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