Question

A clock is correct on Monday at 3:00 AM but gains 2 minutes per hour. What time will it show when the actual time is 7:30 PM on Tuesday?

• A. 8{:}48 PM
• B. 8{:}45 PM
• C. 8{:}51 PM
• D. 9{:}10 PM

Hint:

N/A

Answer 1

The Correct Option is C

The clock is correct on Monday at 3:00 AM and gains 2 minutes every hour. We need to find out what time the clock will display when the actual time is 7:30 PM on Tuesday.

Step 1: Calculate the total hours from Monday 3:00 AM to Tuesday 7:30 PM.
Monday 3:00 AM to Tuesday 3:00 AM = 24 hours.
Tuesday 3:00 AM to Tuesday 7:30 PM = 16.5 hours.
Total hours = 24 + 16.5 = 40.5 hours.

Step 2: Calculate the total time gained by the clock in 40.5 hours.
The clock gains 2 minutes per hour, so for 40.5 hours: 40.5 × 2 = 81 minutes.

Step 3: Convert the gained time into hours and minutes.
81 minutes = 1 hour and 21 minutes.

Step 4: Add the gained time to the actual time (7:30 PM).
Actual time is 7:30 PM.
Adding 1 hour and 21 minutes: 7:30 PM + 1 hour = 8:30 PM.
8:30 PM + 21 minutes = 8:51 PM.

Thus, the clock will show 8:51 PM when the actual time is 7:30 PM on Tuesday.