A clock is set right at 5 a.m. The clock loss 16 mins in 24 hours. What will…
2025
A clock is set right at 5 a.m. The clock loss 16 mins in 24 hours. What will be the right time when the clock indicates 10 pm on the 4th day ?
- A.
11:15 p.m.
- B.
11:00 p.m.
- C.
12 : 00 p.m.
- D.
12 : 30 p.m.
Attempted by 3 students.
Show answer & explanation
Correct answer: B
1. Calculate the total time shown by the faulty clock from 5 a.m. on the 1st day to 10 p.m. on the 4th day: 3 days (72 hours) + 17 hours (from 5 a.m. to 10 p.m.) = 89 hours. 2. Establish the relationship between the true clock (TT) and the faulty clock (FT): 24 hours of TT = 24 hours - 16 mins FT = 23 hours 44 mins FT = 23 + (44/60) hours = 356/15 hours FT. 3. Calculate the true time elapsed for 89 hours of faulty time: (24 / (356/15)) × 89 = (24 × 15 / 356) × 89. Since 356 / 89 = 4, this simplifies to (24 × 15) / 4 = 6 × 15 = 90 hours. 4. The true clock has covered 90 hours, which is 1 hour more than the faulty clock's 89 hours. So, true time = 10 p.m. + 1 hour = 11:00 p.m. Final Answer: Option B