Kanika drives 6 km west from her home and turns left and drives 3 km and then turns left again and drives 10 km to reach her office. What is the shortest distance between her home and office?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5
Each turn is taken from the direction she is facing at that moment:
She drives West 6 km
Facing West, a left turn is South: she drives 3 km
Facing South, a left turn is East: she drives 10 km
Where the office is:
East-West: 6 km West, then 10 km East, so the office is 4 km East of home
North-South: 3 km South of home
The shortest distance (the two distances are at right angles, so by Pythagoras):
Distance \(=\sqrt{4^2+3^2}=\sqrt{25}=5\) km