amit left 30 min late than his scheduled time in order to reach the destination 150km away in time he had to increase his speed by 15km/h from usual speed.find his usual speed.
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Value Depicted: Amit Is Punctual. His usual speed is 60km/h.
Step-by-step explanation:
Let the usual speed of Amit be x km/h.
Total distance travelled by plane = 150 km.
Time taken to complete the distance = (150/x) hr.
New speed of Amit = (x+15) km/h.
Time taken by Amit = (150/x+15) hr.
According to the question,
(150/x) - (150/x+15) = 30/60
→ 150•{(1/x) - (1/x+15)} = 1/2
→ 300•{x+15-x/x(x+15)} = 1
→ 4500 = x² + 15x
→ x² + 15x - 4500 = 0
→ (x+75)•(x-60) = 0
→ x = -75,60.
Speed cannot be negative. So, usual speed of Amit is 60 km/h.
Amit is punctual.
Hope This Helps You.
Thanks And Regards,
Sahil Bhogaonkar.
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