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Problematics | One step at a time on Metro escalator

It would be a stretch to describe what follows as an original puzzle, but I have tinkered with a couple of existing forms of puzzles and merged them into one using my own variables.

Updated on: Oct 31, 2022 03:02 PM IST
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Puzzles based on moving escalators have been around for, possibly, as long as escalators themselves. It would thus be a stretch to describe what follows as an original puzzle, but I have tinkered with a couple of existing forms of such puzzles and merged them into one using my own variables.

PREMIUMWelcome to Problematics! (Shutterstock)
Welcome to Problematics! (Shutterstock)

To solve this, what you need to bear in mind is that in a moving escalator, new steps appear one by one from one end, while old steps simultaneously

#Puzzle 10.1
#Puzzle 10.1 and #Puzzle 10.2
Mailbox: Last week's solvers
Last week's solvers.
Solved both puzzles: Sandeep Bhateja (Hoshiarpur), Ayush Agrawal (Pune), Paras Nahata (Delhi), Nandita Singh (Kalyan), Aditya Kamath (Mumbai), Yojit Manral (Faridabad), Gaganjot Kaur (Mohali), Jagrut Lade (Mumbai), Sandra Danisha (Podar International School, Kalyan), Gopal Menon (Mumbai), Ritika Shah (Mumbai), Flavian Patel (Mumbai), Tirush Jindal (Apeejay School, Pitampura, Delhi), Shriyukta Khanna (Noida), Sangeeta Khanna (Chandigarh), Anil Goyal (Delhi), Ujjwal Surana (Delhi), Asif Karmali (Mumbai), Alka Mehta (Delhi), Himabh Gemini (Nehru World School, Ghaziabad), Nipun Bamania (Mumbai), Sumanyu Aggarwal (Indraprastha World School), Dhairyan Jain (Mumbai), Mayank Singhal (Delhi), Raunaq Nayar (Delhi), Nikhil Yadav (Gurgaon), Shambhavi Bisht, Surej R (Thane), Rishi Mehta (Gandhidham), Ravinder Gahlout (Gurgaon), Madhuri Patwardhan (Thane), Jasleen Kaur (Delhi), Sanidhya Saumay (Mumbai), Hem Dodhia (Mumbai), CA Manthan Dhabriya (Mumbai), Vinod Mahajan (Delhi), Parth Goyal (Noida), Rituparna Gupta (Indore), Nupur Joshi (Delhi), Musarrat Rai Handa (Faridabad), Col (Dr) J S Sabharwal (Mohali), Anahad Singh (DPS Indirapuram), Ayush Tandon (Delhi), Hardik Goel (Modern Vidya Niketan, Faridabad), Rajat Gulati (Noida), Sarkarmand Sahib (Gurgaon), Biren Parmar (Bay Area, California), Vishruti Mehta (Mumbai), Jasvinder Singh (Nabha), Vedika Singh (Manesar), Jaikumar Inder Bhatia (Ulhasnagar, Thane) 
Solved #Puzzle 9.1: Ramakrishnan Seshan (Mumbai), Shagun Bharadwaj, Mayobhav Pathak (Amity International School, Gurgaon), Shawn Jacob (Mumbai), Geetansha Gera (Faridabad), Gurpreet Sidhu
Solved #Puzzle 9.2: Md Aqeel, Avneesh Tomar (Delhi), Jagpreet Singh Arora, Savleen Kaur, Dr Himadri Bhushan Bal (Noida), Pradyuman Singh (Panchkula), Rishi Kapadia (Mumbai), Parthiv (Delhi), Mohit Kharbanda, Navya Dahiya (Rohini), Kanishka Kataria (Delhi), Sudesh Dogra (Delhi), Birdavinder Singh

Problematics will be back next week. Please send in your replies to problematics@hindustantimes.com

Puzzles based on moving escalators have been around for, possibly, as long as escalators themselves. It would thus be a stretch to describe what follows as an original puzzle, but I have tinkered with a couple of existing forms of such puzzles and merged them into one using my own variables.

PREMIUMWelcome to Problematics! (Shutterstock)
Welcome to Problematics! (Shutterstock)

To solve this, what you need to bear in mind is that in a moving escalator, new steps appear one by one from one end, while old steps simultaneously disappear into the other end.

#Puzzle 10.1
#Puzzle 10.1 and #Puzzle 10.2
Mailbox: Last week's solvers
Last week's solvers.
Solved both puzzles: Sandeep Bhateja (Hoshiarpur), Ayush Agrawal (Pune), Paras Nahata (Delhi), Nandita Singh (Kalyan), Aditya Kamath (Mumbai), Yojit Manral (Faridabad), Gaganjot Kaur (Mohali), Jagrut Lade (Mumbai), Sandra Danisha (Podar International School, Kalyan), Gopal Menon (Mumbai), Ritika Shah (Mumbai), Flavian Patel (Mumbai), Tirush Jindal (Apeejay School, Pitampura, Delhi), Shriyukta Khanna (Noida), Sangeeta Khanna (Chandigarh), Anil Goyal (Delhi), Ujjwal Surana (Delhi), Asif Karmali (Mumbai), Alka Mehta (Delhi), Himabh Gemini (Nehru World School, Ghaziabad), Nipun Bamania (Mumbai), Sumanyu Aggarwal (Indraprastha World School), Dhairyan Jain (Mumbai), Mayank Singhal (Delhi), Raunaq Nayar (Delhi), Nikhil Yadav (Gurgaon), Shambhavi Bisht, Surej R (Thane), Rishi Mehta (Gandhidham), Ravinder Gahlout (Gurgaon), Madhuri Patwardhan (Thane), Jasleen Kaur (Delhi), Sanidhya Saumay (Mumbai), Hem Dodhia (Mumbai), CA Manthan Dhabriya (Mumbai), Vinod Mahajan (Delhi), Parth Goyal (Noida), Rituparna Gupta (Indore), Nupur Joshi (Delhi), Musarrat Rai Handa (Faridabad), Col (Dr) J S Sabharwal (Mohali), Anahad Singh (DPS Indirapuram), Ayush Tandon (Delhi), Hardik Goel (Modern Vidya Niketan, Faridabad), Rajat Gulati (Noida), Sarkarmand Sahib (Gurgaon), Biren Parmar (Bay Area, California), Vishruti Mehta (Mumbai), Jasvinder Singh (Nabha), Vedika Singh (Manesar), Jaikumar Inder Bhatia (Ulhasnagar, Thane) 
Solved #Puzzle 9.1: Ramakrishnan Seshan (Mumbai), Shagun Bharadwaj, Mayobhav Pathak (Amity International School, Gurgaon), Shawn Jacob (Mumbai), Geetansha Gera (Faridabad), Gurpreet Sidhu
Solved #Puzzle 9.2: Md Aqeel, Avneesh Tomar (Delhi), Jagpreet Singh Arora, Savleen Kaur, Dr Himadri Bhushan Bal (Noida), Pradyuman Singh (Panchkula), Rishi Kapadia (Mumbai), Parthiv (Delhi), Mohit Kharbanda, Navya Dahiya (Rohini), Kanishka Kataria (Delhi), Sudesh Dogra (Delhi), Birdavinder Singh

Problematics will be back next week. Please send in your replies to problematics@hindustantimes.com

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ABOUT THE AUTHOR
Kabir Firaque

Puzzles Editor Kabir Firaque is the author of the weekly column Problematics. A journalist for three decades, he also writes about science and mathematics.

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