A watch gains 10 seconds in 3 minutes. It was set right at 9 A.M. In the evening of the same day, when the watch indicates half past 6 'o clock , the true time is

Options

A. `5:30:00 P.M.`
B. `5:48:10 P.M. `
C. ` 5:58:20 P.M. `
D. `6:08:20 P.M. `

Explanation

When actual clock moves 3 minutes, incorrect watch moves 3 minutes + 10 seconds
`=3(1)/(9)` minutes
`=(19)/(6)` minutes
`therefore` When incorrect clock shows 5:70 minutes, actual clock shows
`(570 xx 3)/((19)/(6))` = 540 minutes
= 9 hours
`therefore` Acutal time = `6:00` pm
(Ans `rarr` 6:00:00 pm)