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What is the total amount of time she used to walk in her older routine?

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Alex’s friend Grace drops her every day to work in the morning to her office, but cannot help to drop her back home in the evening. Ṣhe walks back home from work every day . But after a few days, As a reward of her sincerity in work, her boss offered her a metro pass. Now she needs to walk only from her office to a nearby metro station and from a station nearby her house to her house . Following this routine, she walks 1/8th times less than before. Assume that she always walks with the same speed, she reached home 15 minutes earlier than usual. If the time she traveled in the metro (apart from her walking) is 5 minutes, what is the total amount of time she used to walk in her older routine (without taking metro)?

posted Jul 7, 2017 by Divya Nayak

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1 Answer

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160 minutes
let the distance from her office to home be x m and let her walk at v m/min
without taking a metro time taken by her is x/v minutes.....(1)
when she takes metro she walks 7x/8 meters taking 7x/(8v) minutes in walking and 5 minutes in metro..this is 15 less than (1)
thus 7x/(8v)+5+15=x/v solution gives x/v=160 minutes.

answer Jul 7, 2017 by Kewal Panesar

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