SOLUTION: 80 coins are placed in a line on the ground. The distance between any two consecutive coins is 10 metres. How far must a person travel to bring them, one by one, to a basket placed

Algebra.Com
Question 1149117: 80 coins are placed in a line on the ground. The distance between any two consecutive coins is 10 metres. How far must a person travel to bring them, one by one, to a basket placed 10 metres behind the first coin.
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
80 coins are placed in a line on the ground. The distance between any two consecutive coins is 10 metres. How far must a person travel to bring them, one by one, to a basket placed 10 metres behind the first coin.
-----------
You didn't say where the person started from.
---
If he starts at the basket:
The 1st trip is 20 meters.
The 2nd trip is 40 meters.
---
The last trip is 1600 meters.
The average trip is (1600 + 20)/2 = 810 meters
There are 80 trips
80*810 = 64800 meters

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


1st coin: 10m to the coin and 10m back to the basket = 20m
2nd coin: 20m to the coin and 20m back to the basket = 40m
3rd coin: 30m to the coin and 30m back to the basket = 60m
...
80th coin: 800m to the coin and 800m back to the basket = 1600m

Total distance: (20+40+60+...+1600)m

Use the formula for the sum of an arithmetic sequence:



ANSWER: 64,800 meters


RELATED QUESTIONS

Eighty coins are placed in a line on the ground. The distance between any two consecutive (answered by greenestamps)
Pls. Help. Q1 Along a line 225 metres long 26 trees are planted at equal distance, one... (answered by solver91311)
A piece of cardboard is placed midway between two sources of light of equal intensity... (answered by Alan3354)
A car travels 70 miles per hour. How far does the car travel in 4 hours and 15 minutes? (answered by rfer)
1.How many pounds of water must be evaporated from 50 lbs of a 3% salt solution so that... (answered by solver91311)
A purse containing only $5 and $10 coins,has 6 more $10 coins than $5 coins. The total... (answered by josgarithmetic)
Kevin and randy must have a jar containing 36 coins, all of which are either quarter or... (answered by josgarithmetic,ikleyn)
the feet of two vertical poles of height 3m and 7m are in line with a point p on the... (answered by josgarithmetic)
In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more (answered by stanbon)