a plane take off 40min late in order to reach its destanisation 1600 km it increase its speed by 400 km/h than its original speed what is its original speed
Answers
Answered by
1
D = 1600 km. Normal duration of flight = T hours.
Normal speed = V kmph.
D = V T = 1600 km
V T = (V +400) (T - 2/3)
= V T - 2 V/ 3 + 400 T - 800/3
T = 2/3 + V/600
V * (2/3 + V/600) = 1600
V² + 400 V - 960000= 0
V = -200 + √(1000,000) = 800 kmph
T = 2 hours.
Normal speed = V kmph.
D = V T = 1600 km
V T = (V +400) (T - 2/3)
= V T - 2 V/ 3 + 400 T - 800/3
T = 2/3 + V/600
V * (2/3 + V/600) = 1600
V² + 400 V - 960000= 0
V = -200 + √(1000,000) = 800 kmph
T = 2 hours.
Similar questions