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

37 views

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

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.

Similar Puzzles
+1 vote

A hiker walks from one town to another.

On the first day she covers one fifth of the total distance.

The next day she covers a quarter of what is left.

The following day she covers two fifths of the remainder and on the fourth day half of the remaining distance.

She now has 25 miles left.

How many miles has she travelled?

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. What is the time (in seconds) which they take to cross each other?