A student leaves his home to visit his tutor. He walks 90 m due east from his home and then turns right. He walks another 20 m and turns right again, walking 30 m to reach a friend's house. From his friend's house, he then walks 100 m towards the north to reach his tutor's home. How far is the tutor's home from his own home in a straight line?

Logan starts from Point A and drives 18 km towards west. He then takes a left turn, drives 15 km, turns right and drives 12 km. He then takes a right turn and drives 15 km. He takes a final right turn, drives 5 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only.)

Arvind starts from Point A and drives 25 km towards east. He then takes a right turn, drives 10 km, turns left and drives 20 km. He then takes a left turn and drives 10 km. He takes a final left turn, drives 12 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again?