A plane left 30 minutes later than the schedule time and in order to reach its destination 1500 km away in time it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed.
Answers
Answered by
0
Answer:
Let x be the usual speed of the plane
Increased speed=x+250
Time taken by plane in usual circumstaces,t
1
=
speed
distance
t
1
=
x
1500
Time taken by plane due to delay, t
2
=
x+250
distance
Difference in times = Delay in departure
x
1500
−
x+250
1500
=
60
30
x
1500
−
x+250
1500
=
2
1
⇒
x
2
+250x
x+250−x
=
3000
1
x
2
+250x−750000=0
Solving:
x
2
+1000x−750x−750000=0
x(x+1000)−750(x+1000)=0
(x−750)(x+1000)=0
x=750
Step-by-step explanation:
Answered by
1
X=750
Please mark me as the brainliest and do follow me if you found this helpful
Similar questions