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Short hand and long hand

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AdityaHongunti
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Short hand and long hand [#permalink] New post   24 Mar 2018, 23:40
The short and long hands of a clock are 4cm and 6cm long respectively. What will be the sum of distances travelled by their tips in 4 days ? ( π = 3.14)

A. 954.56 cm
B. 3818.24 cm
C. 2909.12 cm
D. 2703.56 cm


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Re: Short hand and long hand [#permalink] New post   25 Mar 2018, 00:24
The short and long hands of a clock are 4cm and 6cm long respectively. What will be the sum of distances travelled by their tips in 4 days ? ( π = 3.14)

A. 954.56 cm
B. 3818.24 cm
C. 2909.12 cm
D. 2703.56 cm





in my calculation I get following:

long is 6 and there is 24h per day so we have in 4 days, 4x24 x 2rπ= 1152π
short is 4 so we have 4x2rπx2=96π
1152π+96π=1216π and 1216x3.14=3818.24 cm
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AdityaHongunti
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Re: Short hand and long hand [#permalink] New post   25 Mar 2018, 00:28
billionaire wrote:
The short and long hands of a clock are 4cm and 6cm long respectively. What will be the sum of distances travelled by their tips in 4 days ? ( π = 3.14)

A. 954.56 cm
B. 3818.24 cm
C. 2909.12 cm
D. 2703.56 cm





in my calculation I get following:

long is 6 and there is 24h per day so we have in 4 days, 4x24 x 2rπ= 1152π
short is 4 so we have 4x2rπx2=96π
1152π+96π=1216π and 1216x3.14=3818.24 cm

You are right.

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Re: Short hand and long hand [#permalink] New post   25 Mar 2018, 00:36
AdityaHongunti wrote:
billionaire wrote:
The short and long hands of a clock are 4cm and 6cm long respectively. What will be the sum of distances travelled by their tips in 4 days ? ( π = 3.14)

A. 954.56 cm
B. 3818.24 cm
C. 2909.12 cm
D. 2703.56 cm





in my calculation I get following:

long is 6 and there is 24h per day so we have in 4 days, 4x24 x 2rπ= 1152π
short is 4 so we have 4x2rπx2=96π
1152π+96π=1216π and 1216x3.14=3818.24 cm

You are right. But I would suggest you to elaborate your explanation in detail ( for the short hand ) so that others may understand your explanation.



You are right...there is a trick there with short hand...but I will explain both calculations...
Long shows us minutes and there are 60 minutes per h so long one will create full circle in 1h and there is 24h
so we have in 4 days, 4x24 x 2rπ= 1152π

Short hand shows us hours and there are 24h per day but only 12 on analog clock showed so in one day we have 2 full circles so we have in 4 days, 4x 2rπ x2=96π
Al together 1152π+96π=1216π and 1216x3.14=3818.24 cm

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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: Short hand and long hand [#permalink]
25 Mar 2018, 00:36
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