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What is the angle between the hour hand and the minute hand at the tim

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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What is the angle between the hour hand and the minute hand at the tim  [#permalink]

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15 Oct 2019, 00:34
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55% (hard)

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56% (01:55) correct 44% (01:20) wrong based on 27 sessions

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[GMAT math practice question]

What is the angle between the hour hand and the minute hand at the time of 5 hours 44 minutes?

$$A. 89^o$$

$$B. 90^o$$

$$C. 91^o$$

$$D. 92^o$$

$$E. 93^o$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior PS Moderator Joined: 26 Feb 2016 Posts: 3305 Location: India GPA: 3.12 What is the angle between the hour hand and the minute hand at the tim [#permalink] Show Tags 15 Oct 2019, 01:15 MathRevolution wrote: [GMAT math practice question] What is the angle between the hour hand and the minute hand at the time of 5 hours 44 minutes? $$A. 89^o$$ $$B. 90^o$$ $$C. 91^o$$ $$D. 92^o$$ $$E. 93^o$$ Whenever we deal with clock problems, these are some points that come in handy. 1. Every hour is $$\frac{360^o}{12} = 30^o$$ in measure 2. Every minute will cause the minute hand to move $$\frac{360^o}{60} = 6^o$$. As 12 minutes pass in every hour, the hour hand will move $$\frac{30^o}{5} = 6^o$$ towards the next hour. Coming to the problem at hand, we have the hour hand standing between 5 and 6. The hour hand has moved $$\frac{44}{60}*30 = 22^o$$ away from 5(which is at $$150^o$$) and is at $$172^o$$. The minute hand is at $$44* 6^o = 264^o$$. The angle between the hour and the minute hand is the difference between the hour and minute hand. Therefore, the angle between the minute and hour hand is $$264^o - 172^o = 92^o$$(Option D) _________________ You've got what it takes, but it will take everything you've got GMAT Club Legend Joined: 18 Aug 2017 Posts: 5483 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: What is the angle between the hour hand and the minute hand at the tim [#permalink] Show Tags 15 Oct 2019, 02:00 we can use formula angle = 11/2* min-30*hr angle = 11/2* 44-30*5 ; 92 IMO D MathRevolution wrote: [GMAT math practice question] What is the angle between the hour hand and the minute hand at the time of 5 hours 44 minutes? $$A. 89^o$$ $$B. 90^o$$ $$C. 91^o$$ $$D. 92^o$$ $$E. 93^o$$ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8261 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: What is the angle between the hour hand and the minute hand at the tim [#permalink] Show Tags 17 Oct 2019, 18:20 => Attachment: 10.15ps(a).png [ 29.35 KiB | Viewed 197 times ] The minute hand moves $$6°$$ every minute and $$<x = 44*6°=264°.$$ The hour hand moves $$0.5°$$ every minute and $$<y = 44*0.5°+150 = 172°.$$ Then the angle between the minute hand and the hour hand is $$264°-172°=92°.$$ Therefore, D is the answer. Answer: D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: What is the angle between the hour hand and the minute hand at the tim   [#permalink] 17 Oct 2019, 18:20
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