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?

Correct Option (2)

To determine the shortest distance, we analyze the net displacement in the East-West and North-South directions from the starting point (house) to the final point (bank).

• Initial movement: 10 km South.
• First turn left: 20 km East (from South, a left turn is East).
• Second turn left: 40 km North (from East, a left turn is North).
• Third turn right: 5 km East (from North, a right turn is East).
• Fourth turn right: 30 km South (from East, a right turn is South).

Calculating the net displacement:

• Net East-West displacement: 20 km (East) + 5 km (East) = 25 km East.
• Net North-South displacement: 40 km (North) - 10 km (South) - 30 km (South) = 40 km North - 40 km South = 0 km.

Thus, the bank is located 25 km to the East of the house, with no net displacement in the North-South direction. The shortest distance between the house and the bank is the straight-line distance, which is 25 km.

Incorrect Options:

Options 1 (20 km), 3 (30 km), and 4 (35 km) are incorrect. These values do not represent the calculated shortest straight-line distance of 25 km between the employee's house and the bank. They may result from partial calculations or incorrect summation of displacements.