A and B are in different time zones..

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**Directions for the below question.**

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

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 plane’s cruising speed in km per hour?

- $700$
- $550$
- $600$
- $500$
- cannot be determined

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From A to B

Speed of plane + Speed of air = Resultent speed

distance covering by plane 3000km in 4 hours

Resultent speed =3000/4=750 km/hr

So, Speed of plane = 750 - 50 =700km/hr

From B to A

Speed of plane - Speed of air = Resultent speed

Resultent Speed 3000/7=428.57km/hr

Speed of plane=428+50=478km/hr

So, Ans is (E) Cannot be determined

Speed of plane + Speed of air = Resultent speed

distance covering by plane 3000km in 4 hours

Resultent speed =3000/4=750 km/hr

So, Speed of plane = 750 - 50 =700km/hr

From B to A

Speed of plane - Speed of air = Resultent speed

Resultent Speed 3000/7=428.57km/hr

Speed of plane=428+50=478km/hr

So, Ans is (E) Cannot be determined