A clock is set right at 5, am. The clock lose | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The clock is set right at $5\, am$ on the $1^{st}$ day.From $5\, am$ on the $1^{st}$ day to $5\, am$ on the $4^{th}$ day is $3 	imes 24 = 72$ hou

Vedclass · Accepted Answer

$11\, pm$

Vedclass · Answer

(B) The clock is set right at $5\, am$ on the $1^{st}$ day.From $5\, am$ on the $1^{st}$ day to $5\, am$ on the $4^{th}$ day is $3 	imes 24 = 72$ hours.From $5\, am$ to $10\, pm$ on the $4^{th}$ day is $17$ hours.Total time elapsed according to the faulty clock $= 72 + 17 = 89$ hours.In $24$ hours,the clock loses $16$ minutes,meaning it shows $23$ hours $44$ minutes ($23\frac{11}{15} = \frac{356}{15}$ hours) for every $24$ hours of the correct clock.So,$\frac{356}{15}$ hours of the faulty clock $= 24$ hours of the correct clock.Therefore,$89$ hours of the faulty clock $= (24 	imes \frac{15}{356} 	imes 89)$ hours of the correct clock.$= (24 	imes \frac{15}{356} 	imes 89) = 90$ hours of the correct clock.$90$ hours is equal to $3$ days and $18$ hours.Starting from $5\, am$ on the $1^{st}$ day,$3$ days later is $5\, am$ on the $4^{th}$ day.Adding $18$ hours to $5\, am$ gives $11\, pm$ on the $4^{th}$ day.

$A$ clock is set right at $5\, am.$ The clock loses $16\, minutes$ in $24\, hours.$ What will be the true time when the clock indicates $10\, pm$ on the $4^{th}$ day?

Similar Questions

At what time between $7$ o'clock and $8$ o'clock will the hands of a clock be in the same straight line but,not together?

An accurate clock shows $8$ o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows $2$ o'clock in the afternoon (in $^{\circ}$)?

Number of times $29^{th}$ day of the month occurs in $400$ consecutive years is

If March $2, 1994$ was a Wednesday,what day was January $25, 1994$?

The angle between the $minute$ hand and the $hour$ hand of a clock when the time is $10.30$ is (in $^{\circ}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module