Mr. Ghosh arrives at his office 30 min. Late everyday. On a particular day , he reduces his speed by 25% & hence arrived 50 min. Late instead. If he has to arrive on time, by what percentage should he increase hie speed?
Answers
Speed should be increased by 100 % if Mr. ghosh want to arrive office on time
Step-by-step explanation:
Speed of Man = S km/hr
Distance of office = D km
T hr is the time taken to reach office at time
Time Taken = D/S = T + 30/60
=> D/S = T + 1/2
=> 2D = 2ST + S
Speed reduced by 25 %
Reduced speed = S - (25/100)S = 3S/4
=> D/(3S/4) = T + 50/60
=> 4D/3S = T + 5/6
=> 8D = 6ST + 5S
6ST + 5S = 8ST + 4S
=> 2ST = S
=> T = 1/2
=> 2D = S + S
=> D = S
Speed Required = D/T = S/(1/2) = 2S
increase in speed = 2S - S
Speed to be increase = (S/S) * 100 = 100%
Speed should be increased by 100 %
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