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Short hand and long hand

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Manager
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Short hand and long hand  [#permalink]

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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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Short hand and long hand  [#permalink]

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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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Re: Short hand and long hand  [#permalink]

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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]

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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
_________________

Your kudos are much appreciated

GMAT Club Bot
Re: Short hand and long hand &nbs [#permalink] 25 Mar 2018, 00:36
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