A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km.…
A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km. She again turns left and drives 40 km, then she turns to her right and drives for another 5 km. She again turns to her right and drives another 30 km to reach her bank where she works. What is the shortest distance between her bank and her house?
20 km
25 km
30 km
35 km
Solution
Tracing the path: 10 km South, then 20 km East (left), then 40 km North (left), then 5 km East (right), then 30 km South (right). Net East displacement = 20 + 5 = 25 km. Net North-South displacement = -10 + 40 - 30 = 0 km. So the bank is exactly 25 km east of the house; the shortest distance is 25 km.