A plane left one hour late than the scheduled time. In order to reach the destination 2400 km away on time , it had to increase its usual speed by 50%. What was its increased speed ?
A. 600 kmph
B. 800 kmph
C. 1200 kmph
D. 900kmph
Answers
Given : A plane left one hour late than the scheduled time.
In order to reach the destination 2400 km away on time , it had to increase its usual speed by 50%.
To Find : What was its increased speed
A. 600 kmph
B. 800 kmph
C. 1200 kmph
D. 900kmph
Solution:
Distance = Speed * Time
Let sat Normal Speed = 2N km/hr
Increased speed = 2N + (50/100)2N = 3N km/hr
Time taken with Normal Speed = 2400/2N = 1200/N hr
Time taken with increased Speed = 2400/3N = 800/N hr
Time to be saved = 1 hr
=> = 1200/N - 800/N = 1
=> 400/N = 1
=> N = 400
Increased speed = 3N = 3 * 400 = 1200 Km/hr
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