Seema walks from A to B, which is 2 km away, turns right at 90° and walks for 3 km to point C. Then she turns right at 90° and walks to D, which is 8 km away, turns 90° right and walks 3 km to point E. Finally, she turns right at 90° and walks 4 km to point F. How far is it from A to F?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 2 km
Every turn is a right turn of 90°, taken from the direction Seema is facing at that moment. The first direction is not given; taking A to B as North (any other start only turns the whole path round and gives the same distance):
A to B: North, 2 km
Facing North, a right turn is East: B to C, 3 km
Facing East, a right turn is South: C to D, 8 km
Facing South, a right turn is West: D to E, 3 km, which brings her back to the line through A and B, 8 − 2 = 6 km south of A
Facing West, a right turn is North: E to F, 4 km, so F is \(6-4=2\) km south of A
F lies on the same north–south line as A, so the distance from A to F is 2 km.