The train for Lucknow leaves every two and a half hours from New Delhi Railway Station. An announcement was made at the station that the train for Lucknow had left 40 minutes ago and the next train will leave at 18:00 hrs. At what time was the announcement made ?

15 : 30 h r s

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17 : 10 h r s

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16 : 10 h r s

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None of these

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Solution

The correct option is B $16 : 10 h r s$
Duration of each train $= 2 h o u r s 30 m i n u t e s$ .
Next train would leave at $18.00$ hours.
The last train that left the station was at
18 - 2 hours 30 minutes $= 15 : 30$ hrs.
Announcement was made $40$ minutes after the last train had left.
$∴$ Announcement was made at
$15 : 30 h r s + 40 m i n u t e s = 16 : 10 h r s$ .

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