Math, asked by Rahulgenius7000, 1 year ago

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.

Answers

Answered by YadavShashi
2
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Answered by hemlatabhogaonkar088
6

Answer:

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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