Question

In a potato race 20 potatoes are placed in a line at intervals of 4 metres with the first potato 24 metres from the starting point. A contestant is required to bring the potatoes back to the starting place one at a time. How far would he run in bringing back all the potatoes

Answer 1

refer the maths text book chapter 5 ex.5.3. 20 th question.work according to it.folloq the same method

Answer 2

Answer:

The contestant runs 2480 meters or 2.48 km to bring back all the potatoes.

Step-by-step explanation:

This is based on arithmetic progression, where the first term is 24, no. of terms is 20 and the common difference is 4.

Since the contestant runs back and forth, the distance covered by the contestant is twice the sum of the terms in the AP.

Sum of n terms of an AP, S = (n/2) [ 2a + (n-1)d]

Substituting n=20, a = 24 and d =4 in the above equation, we have

S = (20/2)[2(24) + (20-1)(4)] = 10[48+76] = 1240

Distance covered by the contestant = 2 * 1240 = 2480

∴The contestant runs 2480 meters or 2.48 km to bring back all the potatoes.