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Kola and Bola are two friends

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Kola and Bola are two friends. They are staying on two sides of a pond. Now Kola jumped 1 inch first to reach Bola. Seeing that, Bola jumped double distance of Kola. This time, Kola jumped equal distance of Bola. Thus they could meet each other by jumping equal distance. If the distance of two sides of the pond is 1533 inches, then how many jumps they have given totally?

Aug 18, 2017

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Kola and Bola are two friends. They are staying on two sides of a pond. Now Kola jumped 1 inch first to reach Bola. Seeing that, Bola jumped double distance of Kola. This time, Kola jumped equal distance of Bola. Thus they could meet each other by jumping equal distance. If the distance of two sides of the pond is 1533 inches, then how many jumps they have given totally?

With the first three jumps, they have closed a distance of  1 + 2 + 2  = 5 inches

So...there are 1533 - 5  = 1528 inches left between them....if each jumps 2 inches at a time.....they will each jump a total of

1528 / 2  = 764 inches......so....it will take each   764 / 2 = 382 jumps to meet each other  [  assuming that they can jump in water !!! ]

Aug 18, 2017
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Mr. CPhill, can you please explain me in a details? I could not understand after

"With the first three jumps, they have closed a distance of  1 + 2 + 2  = 5 inches So...there are 1533 - 5  = 1528 inches left between them". Please write in details. Plz.

Guest Aug 19, 2017
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I think your equation should look like this:

Let the number of jumps between Kola and Bola = n

1,533 - 1 =1,532 inches to be covered by 2-inch n jumps.

2n = 1,532 divide both sides by 2

n = 1,532 / 2

n = 766 number of 2-inch jumps between Kola and Bola, or 766 / 2 = 383 a piece.

766 + 1 = 767 total number of jumps between Kola and Bola, including the first 1-inch jump.

Aug 19, 2017