Puzzle on Distance Walked to Office
Distance Walked to Office Puzzle
Solve the Puzzle on Distance walked to the office.
Alex’s friend Grace drops her off at work every day in the morning, but she can’t resist but drop her off at home in the evening. The puzzle is about the distance walked to the office puzzle.
Premise – Every day, he walks home from work. However, after a few days, her boss offered her a metro pass as a reward for her hard work. She now only has to walk from her office to a local metro station and from a nearby metro station to her home.
Rule – She walks 1/8th of the distance she did before by following this exercise. Assuming she walks at the same pace every time, she arrived home 15 minutes earlier than normal.
Objective – 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 the metro)?
Let the distance she walks in her new routine from her office to a nearby station be ‘y’ and the time she takes to be ‘t_{1}’ and the distance from a station nearby to her home to her home be ‘z’ and the time he takes to be ‘t_{2}’.
She walks 1/8th times less than before taking the new routine, which implies
x- \frac{x}{8} = z+y ————–{1}
=> distance = speed * Time
=>x = v * t
=>y = v * ‘t_{1}’
=>z = v * ‘t_{2}’
From equation {1}
= \frac{7}{8} (v*t) = v* ‘t_{1}’+ v* ‘t_{2}’
= \frac{7}{8} (t) = t1 + t2 ————-{2}
She reached home 15 minutes earlier, which means
= > t-15 = t_{2} + t_{3} + Time taken in the metro
=> t-15 = t_{2}+ t_{3} + 5
From equation {2}
=> t-15=\frac{7}{8}t+5
By solving the above equation, we get : t=160
Therefore, she used to walk 160 minutes every day.
Prime Course Trailer
Related Banners
Get PrepInsta Prime & get Access to all 200+ courses offered by PrepInsta in One Subscription
Get over 200+ course One Subscription
Courses like AI/ML, Cloud Computing, Ethical Hacking, C, C++, Java, Python, DSA (All Languages), Competitive Coding (All Languages), TCS, Infosys, Wipro, Amazon, DBMS, SQL and others
- Fox, Duck and Circular Pond Answer
- Caves and a thief Answer
- Couples crossing the river Answer
- Number game to save life Answer
- Classic lateral thinking Answer
- Finding the injection for anesthesia Answer
- Toggling Prison cell Answer
- Tic Tac Toe Answer
- Magical Matrix Answer
- Last Palindrome Date Answer
- Number of chocolates in a bag Answer
- Worm and leaves Answer
- Puzzle on the idler Answer
- Chain Linking Answer
Login/Signup to comment