Question 135

Find the length of the plank which can be used to measure exactly the lengths 4 m 50 cm, 9 m 90 cm, and 16 m 20 cm in the least time.

Solution

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We will have to find the HCF of 4.5, 9.9 and 16.2 metres.
Converting them into cm to get 450, 990 and 1620 cm. HCF of these 3 numbers is 90 cm.
So, the length of the plank which can be used to measure exactly the lengths 4 m 50 cm, 9 m 90 cm, and 16 m 20 cm in the least time is 90 cm.

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