Question 118

45 pillars are standing in a line such that distance between any two consecutive pillars is same. A car travelling with uniform speed of 72 km/h takes 18 seconds to reach from 1st pole to 10th pole. What is the distance between 10th and 31st pole (in metres)?

Solution

Let distance between two consecutive pillars = $$d$$ metres

Speed of car = $$(72\times\frac{5}{18})=20$$ m/s

Using, distance = speed x time

Distance travelled by car from 1st to 10th pillar = $$9d=20\times18$$

=> $$d=20\times\frac{18}{9}=40$$ m

$$\therefore$$ Distance between 10th and 31st pillar = $$21d=21\times40=840$$ metres

=> Ans - (C)

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