In a flight of 6000km,an aircraft was slowed down due to bad weather. The average speed for the trip was reduced by 400 km/hr and the time of flight increased by 30 min. Find the original duration of the flight. 

Asked by tvsailakshmi | 18th Feb, 2018, 05:41: PM

Expert Answer:

begin mathsize 16px style Let space the space original space speed space of space the space aircraft equals straight x space km divided by hr
rightwards double arrow New space speed equals left parenthesis straight x minus 400 right parenthesis space km divided by hr
Duration space of space flight space with space original space speed equals open parentheses 6000 over straight x close parentheses space hour
Duration space of space flight space with space reduced space speed equals open parentheses fraction numerator 6000 over denominator straight x minus 400 end fraction close parentheses space hour
therefore fraction numerator 6000 over denominator straight x minus 400 end fraction minus 6000 over straight x equals 1 half
Solve space this space to space get space the space value space of space straight x. end style

Answered by Rashmi Khot | 18th Feb, 2018, 06:58: PM

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