Question

In a flight of 600 km an aircraft was slowed down due to bad weather The average speed of trip was reduced to 200km/h and time of flight increased by 30 minutes .Find duration of flight . what is correct answer some are saying 1.5 hour and some 1 hour ?

Answer 1

Answer:1 hour

Step-by-step explanation:

S=vt

Here (s)distance=600km=vt So,v=600/t

Also (v-200)(t+30/60)=vt

vt +v/2-200t-100=vt

300/t-200t-100=0

3/t-2t-1=0

2t^2+t-3=0

2t^2+3t-2t-3=0

(t-1)(2t+3)=0

So, t=1 hour (ans). [t cannot be negative]