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XAT 2016 — QA & DI Question 18

Basics of TSD/ProportinalityEasy

Study the figure below and answer the question:

​​​​​​​

Four persons walk from Point A to Point D following different routes. The one following ABCD takes 70 minutes. Another person takes 45 minutes following ABD. The third person takes 30 minutes following route ACD. The last person takes 65 minutes following route ACBD. IF all were to walk at the same speed, how long will it take to go from point B to point C?

Answer & solution

  • A

    10 mins

  • B

    20 mins

  • 30 mins

  • D

    40 mins

  • E

    Cannot be answered as the angles are unknown.

Solution

Let AB = a , BC = b , BD = c , AC = d and CD = e and let the speed of the persons be V.

From given information :

a + b + e = 70V   …(1)
a +c = 45V   … (2)
d + e = 30V   … (3)
d + b + c = 65V   … (4)

Adding (1) and (4) we get (a + c) + (d + e) + 2b = 135V

From (2) and (3) ; 45V + 30V + 2b = 135V

b = 30V.

b/V = 30.

Hence , it takes 30 min to go from B to C

Hence, option (c).

XAT 2016 QA & DI Q18: Study the figure below and answer the question: ​​​​​​​ Four persons walk from Point A to Point — Solution | TheCATExam