3 rabbit can hop 5 feet , 6 feet, 7 feet respectively in each hop. if they start from a point in the same direction after how many feet will all three of them touch the same feet line the next time??
Answers
Answer:
210 feet
Step-by-step explanation:
3 rabbit can hop 5 feet, 6 feet, 7 feet respectively in each hop .
so the minimum distance which after they will touch the line next time = L.C.M of 5,6,7
=(5x6x7) feet [ as 5and 7
are prime ]
=210 feet
∴ The rabbits touch the same feet line after covering 210 feet.
Given:
Three rabbits can hop 5 feet, 6 feet, and 7 feet respectively in each hop.
They start together from a point and in the same direction.
To Find:
At what distance do the rabbits touch the same feet line.
Solution:
We are given that in each hop, 3 rabbits can hop 5 feet, 6 feet, and 7 feet respectively. We have to find the least distance at which these rabbits are in the same feet line. To find the least distance at which they meet in the same line, we will use the concept of LCM.
Taking the LCM of the distance covered by the rabbits in each hop, we have:
LCM(5, 6, 7) = 5 x 6 x 7 = 210
Hence, the rabbits meet together after covering 210 feet.
∴ The rabbits touch the same feet line after covering 210 feet.