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Previous Year Paper

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CAT-2007-Previous Years Paper

Question
17 out of 25
 

Cities A and B are in different time zones. A is located 
3000 km east of B. The table below describes the schedules of an airline operating non-stop flights between A and B. All the times indicated are local and on the same day.

 

Arrival

Departure

Arrival

City

Time

City

Time

B

8:00 am

A

3:00 pm

A

4:00 pm

B

8:00 pm

 

Assume that planes cruise at the same speed in both directions. However, the effective speed is influenced by a steady wind blowing from east to west at 50 km per hour.


What is the time difference between A and B?



A 2 hours and 30 minutes

B 1 hour

C 1 hour and 30 minutes

D 2 hours

E Cannot be determined

Let the speed of the plane be x km/h

Then its speed from B to A = (x + 50) km/ h

and its speed from A to B = (x – 50) km/ h

The fight starts from city B (8.00 am) and arrives at city B (8.00 am) after taking a halt for 1 hour in city A

Therefore Total time taken = 11 hours

â 11x2 – 6000x – 27500 = 0

Solving the quadratic equation, x = 550

Therefore, time taken from B to A = =6

Flight reaches A when local time at B is 2.00 p.m. which is same as local time 3.00 p.m. at A. Therefore, required time difference = 1 hour


Ans. B

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