# Hands

The clock shows 12 hours. After how many minutes will angle between the hour and minute hand 90°?

Consider the continuous movement of both hands hours.

Correct result:

x =  16.36 min

#### Solution:

360/60•x - 360/(12•60)•x = 90

330x = 5400

x = 180/11 ≈ 16.363636

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