Question

A calendar watch loses one second per day. At this rate, the approximate length of time, in years, for the watch to lose exactly 24 hours is (a) 1/360 (b) 1/240 (c) 4 (d) 240 (e) 2400​

Answer 1

Using proportions, the approximate length of time, in years, for the watch to lose exactly 24 hours is:

(d) 240.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

24 hours have 24 x 3600 = 86400 seconds, hence the rule of three is given by:

One second - 1/365 year

86400 seconds - x years

Applying cross multiplication:

x = 86400/365

x = 240.

Hence option D is correct.

More can be learned about proportions at brainly.com/question/24372153

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