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Question
In 2 days and 20 hours, a watch gains 20 sec; find how much time will the watch take to gain 35 sec.?
Solution
In 2 days and 20 hours (which is 2 × 24 = 48 + 20 = 68 hours), the watch gains 20 seconds
We need to find out how much time the watch will take to gain 35 seconds.
Let's denote the time required to gain 35 seconds as
We set up the proportions:
`68/20 = t/35`
= 68 × 35 = 20 × t
2380 = 20t
`t = 2380/20`
t = 119 hours
119 hours can be divided into days and hours:
119 ÷ 24
= 4 days and 23 hours
Therefore, the watch will take 4 days and 23 hours to gain 35 seconds.
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