In a flight of 6000 km, an aircraft was slowed down due to bad weather. The average speed for the trip was reduced by 400 kmph and the time of flight increased by 30 minutes. The original planned duration of the flight was :
A. $${2\frac{1}{2}}$$ hours
B. $${3\frac{1}{3}}$$ hours
C. $${4\frac{1}{3}}$$ hours
D. $${5\frac{1}{3}}$$ hours
Answer: Option A
Solution(By Examveda Team)
Let the original planned duration of the flight be x hoursThen,
$$\eqalign{ & \Leftrightarrow \frac{{6000}}{x} - \frac{{600}}{{\left( {x + \frac{1}{2}} \right)}} = 400 \cr & \Leftrightarrow \frac{{6000}}{x} - \frac{{12000}}{{\left( {2x + 1} \right)}} = 400 \cr & \Leftrightarrow \frac{{15}}{x} - \frac{{30}}{{\left( {2x + 1} \right)}} = 1 \cr & \Leftrightarrow 2{x^2} + x - 15 = 0 \cr & \Leftrightarrow \left( {x + 3} \right)\left( {2x - 5} \right) = 0 \cr & \Leftrightarrow x = \frac{5}{2} \cr & \Leftrightarrow x = 2\frac{1}{2} \cr} $$
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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