The watch which gains uniformly is 2 minutes | vedclass

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

Question

(A) From Sunday noon to the following Sunday at $2$ $pm$, the total time elapsed is $7$ days and $2$ hours.Total time $= (7 	imes 24) + 2 = 170$ hour

Vedclass · Accepted Answer

$2$ $pm$ on Tuesday

Vedclass · Answer

(A) From Sunday noon to the following Sunday at $2$ $pm$, the total time elapsed is $7$ days and $2$ hours.Total time $= (7 	imes 24) + 2 = 170$ hours.In this period, the watch gains $2$ minutes (to reach correct time) $+ 4$ minutes $48$ seconds (to go fast).Total gain $= 6$ minutes $48$ seconds $= 6 + \frac{48}{60} = 6 + \frac{4}{5} = \frac{34}{5}$ minutes.Since the watch gains $\frac{34}{5}$ minutes in $170$ hours, it gains $1$ minute in $\frac{170 	imes 5}{34} = 25$ hours.To be correct, the watch must gain $2$ minutes from its initial slow state.Time required $= 2 	imes 25 = 50$ hours.$50$ hours $= 2$ days and $2$ hours.Adding $2$ days and $2$ hours to Sunday noon: Sunday noon $+ 2$ days $=$ Tuesday noon. Tuesday noon $+ 2$ hours $= 2$ $pm$ on Tuesday.

The watch which gains uniformly is $2$ minutes slow at noon on Sunday and is $4$ minutes $48$ seconds fast at $2$ $pm$ on the following Sunday. When was the watch correct?

Similar Questions

How many times do the hands of a clock point towards each other in a day?

$A$ thief runs at a speed of $5 \, m/s$. $A$ policeman runs behind him $2 \, seconds$ after the thief started at a speed of $10 \, m/s$. After how much time will the policeman catch the thief? (in $seconds$)

On what date of $August, 1988$ did Friday fall?

If the hands of a clock coincide every $65$ minutes (true time),how many minutes will the clock gain in $24$ hours?

The reflex angle between the hands of a clock at $10:25$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module