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What is the correct answer?
4
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the flight ?
A.
3 hours
B.
2.4 hours
C.
1.4 hours
D.
1 hour
Correct Answer :
D. 1 hour
Let the duration of the flight be x hours.
Then
600
x
-
600
x
+
1
2
=
200
600
x
-
1200
2
x
+
1
=
200
x
(
2
x
+
1
)
=
3
2
x
2
+
x
−
3
=
0
⇒
(
2
x
+
3
)
(
x
−
1
)
=
0
Neglecting the negative value for x we get x = 1
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