A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km ...........

Quantitative Aptitude ( CCS) Time & distance

A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it had to increase the speed by 250 km/hr from the usual speed. Its usual speed is:

720 km/hr

730 km/hr

740 km/hr

750 km/hr

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Explanation:

Usual speed of plane = x kmph
∴ New speed = (x + 250) kmph
∴ 1500/x – 1500/(x + 250) = 30/60
= 1500 (x + 250 - x)/ [x(x + 250)] = 1/2
= x (x + 250) = 750 (750 + 250)
= x= 750 kmph