Q. 144.5( 2 Votes )

A straight highwa

Answer :


Given, time taken by van to reach D from C = 6 minutes.


And let the speed = x


We know,


Distance = speed × time


Distance between D and C = DC = 6x


In triangle ACB,


ACB = OAC (alternate angles are equal)


= 30°


Also,






……… (1)


Now, in triangle ABD,


ABD = OAD (alternate angles are equal)


= 60°


We know,





AB = BD√3 ……… (2)


Now, equating (1) & (2), we get–



BD + 6x = BD × 3


2BD = 6x



BD = 3x (where, x is speed)


Now, comparing it with Distance = speed × time, we have–


Time = 3 minutes.


Hence, it take 3 minutes more for the van to reach the tower.


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