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Solution


Q.

In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato.
The other potatoes are arranged 3 m apart in a straight line, with a total of ten potatoes, as shown in the figure.

A competitor starts from the bucket, picks up the nearest potato, runs back to the bucket to drop it in, then returns to pick up the next potato.
This process continues until all the potatoes are in the bucket

 

Based on the above information answer the following questions:

 

(iii) (b) What is the total distance the competitor has to run
1 370 m  
2 350 m  
3 360 m  
4 330 m  

Ans.

(1)

Let the total distance run by competitor be S₁₀.So S₁₀ = 10/2 [2a + (10−1)d]= 5 [2a + 9d]= 5 [2 × 10 + 9 × 6]= 5 (20 + 54)            = 370 m∴ The competitor has to run 370 m.