SOLUTION: Luca loves to wear his grandfather's old watch, which unfortunately loses two min every hour. Lucas must be at interview at 2:30 pm but has some errands to run first. He needs to c

Question 1201526: Luca loves to wear his grandfather's old watch, which unfortunately loses two min every hour. Lucas must be at interview at 2:30 pm but has some errands to run first. He needs to catch the 1:59 pm train to reach his interview on time. if he sets his alarm for 6:30 am and at the same time, sets his watch to read correctly, when he catches the train, his watch will read closets to
a) 2:14 pm b) 1:44 pm c) 1:14pm d) 6:15 am
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Note that, with the problem exactly as written, there is no way to find the answer; the information is not presented correctly.

In order to know what time the watch reads at 1:59 pm, we need to know when he set his watch to the right time.

But the problem doesn't tell us that. It tells us he set his watch to the right time at the same time that he set his alarm for 6:30 -- but it doesn't tell us at what time he set his alarm.

From the answer choices, it is clear that the intended information was that he set the watch to the right time at 6:30 am....

So let's go with that.

The elapsed time between 6:30 am and 1:59 pm is 7 hours 29 minutes, or very nearly 7.5 hours. Since the watch loses 2 minutes every hour, it loses 2*7.5 = 15 minutes in 7.5 hours; so when the correct time is 1:59, the watch is 15 minutes behind, reading 1:44 pm.

ANSWER: b) 1:44 pm

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