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D
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Difficulty:
85%
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Question Stats:
51% (02:26) correct
49%
(02:04)
wrong
based on 96
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Desi’s watch loses \(2\frac{1}{2}\) minutes per hour. At 12:00 pm yesterday, it showed the correct time. At what time will it show 6:00 pm today?
(A) 6:00 pm
(B) 6:45 pm
(C) 7:02 pm
(D) 7:18 pm
(E) 7:20 pm
(A) 6:00 pm
(B) 6:45 pm
(C) 7:02 pm
(D) 7:18 pm
(E) 7:20 pm
17 Apr 2026, 08:39
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kevincan
Correct time = Shown time X (60/(60 - loss per hour))
Loss = 2.5mins
30hrs = 30 X (60/57.5) =31 hrs 18mins
12pm yesterday + 31hrs 18mins = 7:18 today
Option D
23 Apr 2026, 08:41
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Watch loses 2.5 minutes per hour
So in 60 real minutes, it shows 57.5 minutes
Speed ratio:
Displayed / Real = 57.5 / 60
Time from 12:00 pm yesterday to 6:00 pm today = 30 hours
Displayed time in 30 hours:
= 30 × (57.5 / 60)
= 28.75 hours
= 28 hours 45 minutes
Starting from 12:00 pm:
After 24 hours → 12:00 pm (next day)
4 hours 45 minutes → 4:45 pm
Watch shows 4:45 pm when actual time is 6:00 pm
Difference = 1 hour 15 minutes = 75 minutes
Convert to real time:
= 75 × (60 / 57.5)
≈ 78 minutes ≈ 1 hour 18 minutes
Final time:
6:00 pm + 1 hour 18 minutes = 7:18 pm
Final Answer: D. 7:18 pm
So in 60 real minutes, it shows 57.5 minutes
Speed ratio:
Displayed / Real = 57.5 / 60
Time from 12:00 pm yesterday to 6:00 pm today = 30 hours
Displayed time in 30 hours:
= 30 × (57.5 / 60)
= 28.75 hours
= 28 hours 45 minutes
Starting from 12:00 pm:
After 24 hours → 12:00 pm (next day)
4 hours 45 minutes → 4:45 pm
Watch shows 4:45 pm when actual time is 6:00 pm
Difference = 1 hour 15 minutes = 75 minutes
Convert to real time:
= 75 × (60 / 57.5)
≈ 78 minutes ≈ 1 hour 18 minutes
Final time:
6:00 pm + 1 hour 18 minutes = 7:18 pm
Final Answer: D. 7:18 pm
