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Symbiosis National Aptitude Test SNAP 2014 Paper
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© examsnet.com
Question : 6
Total: 150
An aeroplane takes off 30 minutes later than the scheduled time and in order to reach its destination 1500 km away in time, it has to increase its speed by 250 km/h from its usual speed. Find its usual speed.
1000 km/h
750 km/h
850 km/h
650 km/h
Validate
Solution:
Let the usual speed of the aeroplane be x km/h.
Then,
1500
x
−
1
2
=
1500
(
x
+
250
)
1500
x
−
1500
x
+
250
=
1
2
⇒
1500
x
+
3750000
−
1500
x
x
(
x
+
250
)
=
1
2
⇒ 750000 =
x
2
+ 250x or
x
2
+ 250x – 750000 = 0
⇒
x
2
+ 1000 x – 750 x – 75000 = 0
⇒ (x + 1000) (x – 750) = 0
⇒ x = 750, – 1000
Speed cannot be negative
We get x = 750 km/h
© examsnet.com
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