Question

10.A clock is started at noon. By 40 min past 4
the hour hand has turned the angle is?
a) 185° b) 140°
c) 175° d) 155°​

Answer 1

Answer:

(b) was a is right answer

Step-by-step explanation:

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Answer 2

Answer:

Option (b) 140°  

Step-by-step explanation:

Given problem

A clock is started at noon. By 40 min past 4, the hour hand has turned the angle is?

A clock is started at noon

⇒ clock started at 12 and which means hour hand at 12

40 minutes past 4 means the time traveled by hour hand = 4 hrs 40 min

4 hrs 40 min = $4(\frac{40}{60})$ = $4(\frac{2}{3} )$ = $\frac{14}{3}$ hrs  

we know that the angle traced by hour hand in 12 hr = 360°      

⇒ the angle traced by hour hand in $\frac{14}{3}$ = $\frac{360}{12} (\frac{14}{3} )$ = 140°  

⇒ option (b) 140° is correct answer