Type 6: Slow Clock / āϧ⧀⧰ āϘāĻĄāĻŧā§€ (Slow Clock)






Q. A clock loses 5 minutes every hour. It is set correctly at 8:00 a.m. What time will it show at 8:00 p.m.? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Ģ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§Ž:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϏāĻ āĻŋāĻ•āĻ­āĻžā§ąā§‡ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ āϤ⧇āĻ¨ā§āϤ⧇ āϏāĻ¨ā§āϧāĻŋāϝāĻŧāĻž ā§Ž:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)


Soln


The clock loses 5 minutes every hour. (āϘāĻĄāĻŧā§€āĻŸā§‹ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Ģ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤)


This means that after every real hour, the clock shows 5 minutes less than the actual time. (āĻ…ā§°ā§āĻĨāĻžā§Ž, āĻĒā§ā§°āĻ•ā§ƒāϤ ā§§ āϘāĻŖā§āϟāĻž āĻĒāĻžā§° āĻš'āϞ⧇ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ ā§Ģ āĻŽāĻŋāύāĻŋāϟ āĻ•āĻŽ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāϝāĻŧāĨ¤)



  • Actual time passed(āĻŽā§āĻ  āĻĒāĻŋāĻ› āĻĒā§°āĻž āϏāĻŽāϝāĻŧ) = 12 hours (āĻĒā§ā§°āĻ•ā§ƒāϤ āϏāĻŽāϝāĻŧ āĻĒāĻžā§° āĻšā§ˆāϛ⧇ = ⧧⧍ āϘāĻŖā§āϟāĻž)

  • Clock loses = 5 minutes per hour (āϘāĻĄāĻŧā§€ āĻĒāĻŋāĻ› āĻĒ⧰⧇ = āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Ģ āĻŽāĻŋāύāĻŋāϟ)


Total Loss = 12 × 5 = 60 minutes = 1 hourAns / āωāĻ¤ā§āϤ⧰: Actual Time = 8:00 p.m., Clock is 1 hour slow


Therefore, 8:00 − 1:00 = 7:00, The clock will show 7:00 p.m.



Shortcut / āϏāĻšāϜ āύāĻŋāϝāĻŧāĻŽ: Total Time Lost = (Number of Hours) × (Loss per Hour)


[āĻŽā§āĻ  āĻĒāĻŋāĻ› āĻĒā§°āĻž āϏāĻŽāϝāĻŧ = (āĻŽā§āĻ  āϘāĻŖā§āϟāĻž) × (āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžā§° āĻĒāĻŋāĻ› āĻĒā§°āĻž āϏāĻŽāϝāĻŧ)]


Then: Clock Time = Actual Time − Total Time Lost (āϘāĻĄāĻŧ⧀⧰ āϏāĻŽāϝāĻŧ = āĻĒā§ā§°āĻ•ā§ƒāϤ āϏāĻŽāϝāĻŧ − āĻŽā§āĻ  āĻĒāĻŋāĻ› āĻĒā§°āĻž āϏāĻŽāϝāĻŧ)


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Practice Set (āĻ…āĻ­ā§āϝāĻžāϏ⧰ āĻĒā§ā§°āĻļā§āύ) Slow Clock


Find the time shown by the slow clock. (āϧ⧀⧰ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ āωāϞāĻŋāĻ“ā§ąāĻžāĨ¤)


1. A clock loses 2 minutes every hour. It is set correctly at 6:00 a.m. What time will it show at 12:00 noon? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ⧍ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§Ŧ:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϏāĻ āĻŋāĻ•āĻ•ā§ˆ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ ⧧⧍:ā§Ļā§Ļ āĻĻ⧁āĻĒā§°ā§€āϝāĻŧāĻž āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

 

2. A clock loses 3 minutes every hour. It is set correctly at 7:00 a.m. What time will it show at 3:00 p.m.? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Š āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§­:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ ā§Š:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

3. A clock loses 4 minutes every hour. It is set correctly at 8:00 a.m. What time will it show at 6:00 p.m.? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Ē āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§Ž:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ āϏāĻ¨ā§āϧāĻŋāϝāĻŧāĻž ā§Ŧ:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

4. A clock loses 5 minutes every hour. It is set correctly at 9:00 a.m. What time will it show at 9:00 p.m.? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Ģ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§¯:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ ā§°āĻžāϤāĻŋ ⧝:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

5. A clock loses 6 minutes every hour. It is set correctly at 10:00 a.m. What time will it show at 4:00 p.m. ? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Ŧ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§§ā§Ļ:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ ā§Ē:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

6. A clock loses 5 minutes every hour. It is set correctly at 12:00 noon. What time will it show at 6:00 p.m.? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Ģ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ ā§§ā§¨:ā§Ļā§Ļ āĻĻ⧁āĻĒā§°ā§€āϝāĻŧāĻž āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ āϏāĻ¨ā§āϧāĻŋāϝāĻŧāĻž ā§Ŧ:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

7. A clock loses 10 minutes every hour. It is set correctly at 5:00 a.m. What time will it show at 11:00 a.m. ? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§§ā§Ļ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§Ģ:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ ā§§ā§§:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

8. A clock loses 8 minutes every hour. It is set correctly at 2:00 p.m. What time will it show at 8:00 p.m. ? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§Ž āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ ⧍:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ ā§Ž:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

9. A clock loses 1 minute every hour. It is set correctly at 8:00 a.m. What time will it show at 8:00 p.m. ? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§§ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§Ž:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ āϏāĻ¨ā§āϧāĻŋāϝāĻŧāĻž ā§Ž:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

10. A clock loses 7 minutes every hour. It is set correctly at 6:00 a.m. What time will it show at 6:00 p.m.? (āĻāĻ–āύ āϘāĻĄāĻŧā§€ āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ ā§­ āĻŽāĻŋāύāĻŋāϟ āĻĒāĻŋāĻ› āĻĒ⧰⧇āĨ¤ āĻĒā§ā§ąāĻž ā§Ŧ:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϛ⧇āϟ āϕ⧰āĻž āĻšā§ˆāĻ›āĻŋāϞāĨ¤ āϏāĻ¨ā§āϧāĻŋāϝāĻŧāĻž ā§Ŧ:ā§Ļā§Ļ āĻŦāϜāĻžāϤ āϘāĻĄāĻŧā§€āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύ āϏāĻŽāϝāĻŧ āĻĻ⧇āĻ–ā§ā§ąāĻžāĻŦ ?)

 

Shortcut / āϏāĻšāϜ āύāĻŋāϝāĻŧāĻŽ

  • Total Time Lost = Hours Passed × Loss per Hour (āĻŽā§āĻ  āĻĒāĻŋāĻ› āĻĒā§°āĻž āϏāĻŽāϝāĻŧ = āĻĒāĻžā§° āĻšā§‹ā§ąāĻž āϘāĻŖā§āϟāĻž × āĻĒā§ā§°āϤāĻŋ āϘāĻŖā§āϟāĻžāϤ āĻĒāĻŋāĻ› āĻĒā§°āĻž āϏāĻŽāϝāĻŧ)

  • Clock Time = Actual Time − Total Time Lost (āϘāĻĄāĻŧ⧀⧰ āϏāĻŽāϝāĻŧ = āĻĒā§ā§°āĻ•ā§ƒāϤ āϏāĻŽāϝāĻŧ − āĻŽā§āĻ  āĻĒāĻŋāĻ› āĻĒā§°āĻž āϏāĻŽāϝāĻŧ)