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Two ants of lengths 1 cm and 1.2 cm crawl in opposite directions with average speeds 2 and 3 mm per second respectively. How many seconds will they take to cross each other?

Question

Two ants of lengths 1 cm and 1.2 cm crawl in opposite directions with average speeds 2 and 3 mm per second respectively. How many seconds will they take to cross each other?

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Solution

To solve this problem, we first need to convert the lengths of the ants from cm to mm, because the speeds are given in mm/sec.

1 cm = 10 mm, so the first ant is 10 mm long. 1.2 cm = 12 mm, so the second ant is 12 mm long.

The total distance they need to cross is the sum of their lengths, which is 10 mm + 12 mm = 22 mm.

The ants are moving in opposite directions, so their speeds add up. The total speed is 2 mm/sec + 3 mm/sec = 5 mm/sec.

The time it takes for them to cross each other is the total distance divided by the total speed.

So, the time = 22 mm / 5 mm/sec = 4.4 seconds.

Therefore, the ants will take 4.4 seconds to cross each other.

This problem has been solved

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