Read the given information carefully and answer the questions given beside:…
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Read the given information carefully and answer the questions given beside:
Five friends Teenu, Bani, Chandni, Dev and Joy are playing Hide and Seek and standing randomly. Bani is to the northeast of Joy. Dev is 20 m to the east of Joy, who is 60 m to the west of Teenu. Chandni is to the northwest of Dev and in the line of Joy and Bani. Dev is 40 m to the south of Bani.
If Bani is to look for Teenu in the game, what distance she saves if she goes to Teenu straight instead of first going to Dev and then reaching Teenu?
- A.
42.47 m
- B.
56.60 m
- C.
27.34 m
- D.
23.44 m
Attempted by 26 students.
Show answer & explanation
Correct answer: D
Key idea: Place Joy at (0,0) to set coordinates for all people.
Coordinates: Joy = (0,0). Dev is 20 m east of Joy → Dev = (20,0). Teenu is 60 m east of Joy → Teenu = (60,0). Bani is 40 m north of Dev → Bani = (20,40).
Distance via Dev: Bani → Dev = 40 m (vertical), Dev → Teenu = 40 m (horizontal). Total via Dev = 40 + 40 = 80 m.
Straight-line distance Bani → Teenu: sqrt((60 − 20)^2 + (0 − 40)^2) = sqrt(40^2 + 40^2) = sqrt(3200) ≈ 56.57 m.
Distance saved by going straight: 80 − 56.57 ≈ 23.43 m, which rounds to 23.44 m.