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Two ants of lengths 1 cm and 1.2 cm crawl in opposite directions with average speeds of 2 and 3 mm per second respectively. How many seconds will they take to cross each other?
Total distance to be covered: We need to consider the lengths of both ants since they will pass each other completely. So, the total distance is the sum of their lengths: Distance = Length of ant 1 + Length of ant 2 = 1 cm + 1.2 cm Convert distance to millimeters: Since speeds are given in mm/s, weRead more
Total distance to be covered:
We need to consider the lengths of both ants since they will pass each other completely. So, the total distance is the sum of their lengths: Distance = Length of ant 1 + Length of ant 2 = 1 cm + 1.2 cm
Convert distance to millimeters:
Since speeds are given in mm/s, we need to convert the distance to millimeters as well.
1 cm = 10 mm (1 centimeter = 10 millimeters)
Therefore, Total distance (mm) = 10 mm (1 cm) + 12 mm (1.2 cm) = 22 mm
Calculate the relative speed:
Since the ants are moving in opposite directions, their speeds add up.
Relative speed = Speed of ant 1 + Speed of ant 2 = 2 mm/s + 3 mm/s = 5 mm/s
Time taken to cover the distance:
Time = Distance / Speed
Time = 22 mm / 5 mm/s = 4.4 seconds
Therefore, it will take the ants 4.4 seconds to completely cross each other.
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