Q:

A clock was showing the time accurately on Wednesday at 4pm. On the following Saturday, at 2pm, the clock was running late by 35 seconds. On average, how many seconds did the clock skip every 30 minutes?

Accepted Solution

A:
Answer: The clock skip 0.25 seconds every 30 minutes.Step-by-step explanation:Since we have given that Clock was correct on Wednesday at 4 pm.At 2 pm , on saturday, the clock was running late by 35 seconds.From 4 pm wednesday to 4 pm thursday = 24 hoursFrom 4 pm thursday to 4 pm friday = 24 hoursFrom 4 pm friday to 2 pm saturday = 22 hoursSo, total hours = 24+24+22 = 70 hoursWe need to find the number of seconds that the clock skip every 30 minutes.So, it becomes[tex]\dfrac{70}{0.5}=\dfrac{35}{T}\\\\70T=35\times 0.5\\\\T=\dfrac{35\times 0.5}{70}\\\\T=0.25[/tex]Hence, the clock skip 0.25 seconds every 30 minutes.