Vikhil has an appointment near the train station in the city at 10.30 am. To get to the city,
Vikhil needs to catch a bus and then a train.The bus leaves from Vikhil’s stop every 10
minutes from 9.00am. The bus trip to the train station takes 25 minutes. From 9.30 am
the train leaves for the city every 20 minutes. The train takes 15 minutes to get to the
city. If Vikhil wants to arrive as close as possible to the appointment time, what is the latest
bus he could catch?
1) 9.10 am
2) 9.20 am
3) 9.30 am
4) 9.40 am

9:40
If he takes this bus he will reach at the station to take a train at 9:40 + 0:25 = 10:05
But the train leaves for the station after every 20 mins i.e at 9:50 and 10:10
SO he will take train which leaves for the city at 10:10.
Then the train will take 15 mins.
He will reach for the appointment at 10:10 + 0:15 = 10:25 which is the closest time he could reach for his appointment.

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 Vikhil's appointment is at 10:30 am .
  bus leaves from Vikhil's stop after : 10 mins 
       . therefore time consumes = 10:30 - 10 = 10:20 

now bus trip to the train takes : 25 minutes ...
       therefore subtracting 25 from 10:20, we get : 10:20 - 25 = 9:55

now train leaves for the city after : 20minutes 
now subtracting 20 minutes from the remaining time : 9:55 - 20 = 9:35 

now time taken by the train to get to the city = 15 minutes
      time left = 9:35 - 15 = 9:20

assuming that he takes 10 mins to reach from 1 place to another we get : 9:20 - 10 = 9:10

therefore the latest bus he could catch is at 9:10 am

Hope this helps you....!!

Cheers... !!! :)

 

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