Latest Others Aptitude Question SOLUTION: A train leaves a station precisely on the minute, and after having traveled 8 miles, the driver consults his watch and sees the hour-hand is directly over the minute-hand. The aver

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(#M40010560) OTHERS question Train departure time Keep an EYE

A train leaves a station precisely on the minute, and after having traveled 8 miles, the driver consults his watch and sees the hour-hand is directly over the minute-hand. The average speed over the 8 miles is 33 miles per hour. At what time did the train leave the station?

Asked In Others Bankim (11 years ago)

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Pargat Pal Singh  (11 years ago)

10:40 hrs

time taken by train= 60*8/33= 160/11 min

minute hand covers @6 deg per min , an angle of 6*160/11=960/11 deg

hour hand covers @ 1/2 deg per min , an angle of 2*160/11=80/11 deg

As hands are coinciding now,
angle between hands at the time of departure from station = 960/11-80/11= 880/11=80 deg

Angle between 2 hands of clock = 6M -(30H+M/2)= M*11/2-30H

if we get a negative angle ,it means that the hour hand is ahead of the minute hand.
For 80 deg angle, one possible time is 1040 hrs.

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