SOLUTION: an ant can walk 1 cm/s faster than a beetle. from points that are 50cm apart the ant and the beettle start walking directly towards each other and meet in 10 secs. how fast does ea

Question 262214: an ant can walk 1 cm/s faster than a beetle. from points that are 50cm apart the ant and the beettle start walking directly towards each other and meet in 10 secs. how fast does each of them walk. asume they both started walking at the same time
Found 2 solutions by drk, palanisamy:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This is an RTD question. Here is a table based on the above information:
animal . . . . . . ..rate . . . . . . . . .time . . . . . .. . .distance
ant . .. . . . . . . . b+1. . . . . . . . .10. . . . . . . . . . . . . .10b + 10
beetle. . . . . . . .b. . . . . . . . . . . .10. . . . . . . . . . . . .10b
total. . . . . . . . .. . . . . . . . .. . . . . . . . .. . . . . . . . . . . . 50
looking at the third column, we have

combine like terms to get

subtract to get

divide to get

ant walks 3 cm/s
beetle walks 2 cm/s
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the speed of a beetle = x cm/s
Then,the speed of the ant = x+1 cm/s
Given, from points that are 50cm apart the ant and the beettle start walking directly towards each other and meet in 10 secs.
speed*time = distance
(x+x+1)*10 = 50
Dividing by 10,
2x+1 = 5
2x = 5-1
2x = 4
x = 2
Therefore, the speed of a beetle = 2 cm/s
And,the speed of the ant = 2+1 = 3 cm/s

RELATED QUESTIONS
There are more than 1/4 million species of beetle. Assume the average length of a beetle... (answered by Alan3354)
There are more than 1/4 million species of beetle. Assume the average length of a beetle... (answered by mananth)
There are more than 1/4 million species of beetle. Assume the average length of a beetle... (answered by josmiceli)
In Aunt Peggy�s attics there are spiders and ants, the total of 160 legs. And, there is... (answered by Alan3354)
Dear sir, Please help me with the following questions. I have solved one of them for... (answered by Alan3354)
two people start from the same point and walk in opposite directions. one person is... (answered by checkley77)
An ant is roughly 10^- 3 meters in length and the average human 1.7 meters. How many... (answered by checkley77,edjones)
An ant is roughly 10^ - 3 meters in length and the average human 1.7 meters. How many... (answered by nerdybill)
An ant is roughly 10^-3 meters in length and the average human 1.7 meters. How many times (answered by edjones)