A clock gains 20 minutes in 24 hours. If it was set right at 6 AM. What time…
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A clock gains 20 minutes in 24 hours. If it was set right at 6 AM. What time does it shows at 4 PM?
- A.
8[2/3] minutes past 4
- B.
7[1/3] minutes past 4
- C.
7[2/3] minutes past 4
- D.
8[1/3] minutes past 4
Attempted by 13 students.
Show answer & explanation
Correct answer: D
Key idea: the clock gains 20 minutes in 24 hours, so its gain per hour = 20/24 minutes.
Compute elapsed time from 6 AM to 4 PM: 10 hours.
Gain per hour = 20/24 = 5/6 minutes.
Total gain in 10 hours = 10 × 5/6 = 50/6 = 8 1/3 minutes.
Answer: The clock shows 8 1/3 minutes past 4 (i.e., 4:08 and 20 seconds).