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Question

An aeroplane leaves an airport and flies due north at a speed of 1,000km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1,200km per hour. How far apart will be the two planes after 112 hours?


Your Answer
A
30051km
Correct Answer
B
30061km
Your Answer
C
35061km
Your Answer
D
2100km

Solution

The correct option is B 30061km

Speed of first aeroplane = 1000 km/hr
Distance covered by first aeroplane due north in  112hours  (OA)=100×32km=1500km
Speed of second aeroplane = 1200 km/hr
Distance covered by second aeroplane due west in 112hours  (OB)=1200×32km=1800km
In right angle ΔAOB, we have
AB2=AO2+OB2
AB2=(1500)2+(1800)2
AB=2250000+3240000
 =5490000
AB=30061km
Hence, the distance between two aeroplanes will be 30061km.

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