Question

Due to a bad weather,
an AIR INDIA flight from Chennai to Indonesia was scheduled to travel 10km/hr slower than the regular uniform speed and the journey time would be 11hrs. But the weather was so unpredictable that the pilot even slowed down the flight by 55km/hr from the regular speed and the journey became 12 hrs and 48 min. Calculate the distance between these cities and also the regular speed of the flight.

Answer 1

Let the regular speed of the flight be x kmph

Now given that,

D = (x-10)(11)...... (1)
and also,

D = (x-55)(12.80)......(2)

Now, expanding equation (1)

D = 11x - 110

Expand equation (2)

D = 12.8x - 704

Equate these two equations,

11x - 110 = 12.8x - 704
704 - 110 = 12.8x - 11x
594 = 1.8 x

=> x = 330 kmph

Thus the regular speed of the flight is 330kmph

Substitute x in equation (1),

D = 11(330) - 110

D = 3520 km

Thus the distance between the cities is 3520km