CAT 2002 — QA Question 18
Arithmetic ProgressionEasy
On a straight road XY, 100 metres in length, 5 stones are kept beginning from the end X. The distance between two adjacent stones is 2 metres. A man is asked to collect the stones one at a time and put at the end Y. What is the distance covered by him?
Answer & solution
- A
460 metres
- B
540 metres
860 metres
- D
920 metres
Solution
The first stone is kept at 'X' and the subsequent stones are equidistant from each other, i.e. 2 metres.
∴ The total distance covered by the man to keep all the stones at Y = 100 + 2 × (98 + 96 + 94 + 92) = 100 + 2 × (380) = 860 metres
Hence, option (c).