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2 votes
How long will it take the minute hand of a clock to turn through 240°​

2 Answers

3 votes

Answer:

40 minutes

Explanation:

360/60 = 6 degrees per minute

240/6 = 40 minutes

User Gabriel Andrade
by
6.1k points
3 votes

Answer:

40 minutes / 2400 seconds

Explanation:

One full rotation of a circle is 360°

One hour (full rotation of minute hand) is 60 minutes

360° = 60min

Divide both sides by 60

6° = 1min

So every 6° is 1 minute.

240° / 6° = (x minutes) / 1 minute

x = 40 minutes

Alternatively:

1 hour = 60 minutes

1 minute = 60 seconds

So, 1 hour = 60×60 = 3600 seconds

3600 seconds / 360° = 10 sec/°

==> This means that every 1° is 10 seconds on the minute hand

240° × 10 sec/° = 2400 sec

(Divide by 60 for 40 minutes)

User Nic Nilov
by
5.9k points