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Bunuel
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Danny and Ian are munching on a jar full of candies. Had Danny eaten a 03 May 2021, 01:00
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52% (01:05) correct 48% (01:00) wrong based on 211 sessions

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Danny and Ian are munching on a jar full of candies. Had Danny eaten alone it would have taken him 5 minutes to finish the candies in the jar. Had Ian eaten alone it would have taken him 10 minutes to finish half the jar. Since both of them are eating simultaneously, how long would it take them to empty the jar?

A. 2.5 minutes
B. 3 minutes
C. 3 minutes and 20 seconds
D. 6 minutes and 40 seconds
E. 4 minutes
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Bunuel
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Danny and Ian are munching on a jar full of candies. Had Danny eaten a 10 May 2021, 00:00
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Bunuel
Danny and Ian are munching on a jar full of candies. Had Danny eaten alone it would have taken him 5 minutes to finish the candies in the jar. Had Ian eaten alone it would have taken him 10 minutes to finish half the jar. Since both of them are eating simultaneously, how long would it take them to empty the jar?

A. 2.5 minutes
B. 3 minutes
C. 3 minutes and 20 seconds
D. 6 minutes and 40 seconds
E. 4 minutes
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The rate of Danny is 1/5 jar/minute and the rate of Ian is 1/20 jar/minute, their combined rate is 1/5+1/20=1/4 jar/minute. Thus together they need 4 minutes to finish the jar.

Answer: E.
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Danny and Ian are munching on a jar full of candies. Had Danny eaten a 03 May 2021, 10:46
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Well I'm pretty new to GMAT so my approach on this kinda of topic when we deal with 2 rates to find an X answer has been
A x B / A+B. In which this case gives me 3.3333...:

(1) 10x5/10+5 = 50/15 = 10/3 = 3.3333...

(2) 1/10 + 1/5 = 1/x
1/10 + 2/10 = 1/x
3/10 = 1/x
x = 10/3 = 3.3333...

So, (1) = (2). If we say 3.33h, that means it's 3 hours and 0.33 of an hour (which would be aprox~ 20 minutes (1/3 of an hour, right?).
Therefore answer C.

Please let me know if I'm doing it wrong, which in my mind, has 80% probability haha.
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Danny and Ian are munching on a jar full of candies. Had Danny eaten a 03 May 2021, 21:05
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Danny's rate per minute is 1/5, because in 5 minutes he will have eaten the entire jar.

Ian's rate per minute is 1/20, because it will take him 20 minutes to finish the entire jar. Above the question says he can finish 1/2 jar in 10 min, hence 20 for whole jar.

Together, it will take Danny and Ian x*(\(\frac{1}{20}\) + \(\frac{1}{5}\))= 1

x will equal 4 minutes.
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Danny and Ian are munching on a jar full of candies. Had Danny eaten a 03 May 2021, 21:38
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Bunuel
Danny and Ian are munching on a jar full of candies. Had Danny eaten alone it would have taken him 5 minutes to finish the candies in the jar. Had Ian eaten alone it would have taken him 10 minutes to finish half the jar. Since both of them are eating simultaneously, how long would it take them to empty the jar?

A. 2.5 minutes
B. 3 minutes
C. 3 minutes and 20 seconds
D. 6 minutes and 40 seconds
E. 4 minutes
Show more

Say the jar has 20 candies.
Ian finished the full jar in 20 mins so eats 1 candy/min. Danny finishes the jar in 5 mins so eats 20/5 = 4 candies/min.
Together, they eat 5 candies/min. So they will finish the jar in 20/5 = 4 mins

Answer (E)

Check:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/0 ... -problems/
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Danny and Ian are munching on a jar full of candies. Had Danny eaten a 04 May 2021, 01:09
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Danny's rate for full jar = \(\frac{1}{ 5}\)

Ian's rate for full jar = \(\frac{1}{ 20}\)

Both together: \(\frac{1}{ 5}\) + \(\frac{1}{20}\) = \(\frac{5}{20}\) = \(\frac{1}{4}\)

=> Time took: 4 minutes

Answer E
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Danny and Ian are munching on a jar full of candies. Had Danny eaten a 24 May 2021, 19:26
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biffisway
Well I'm pretty new to GMAT so my approach on this kinda of topic when we deal with 2 rates to find an X answer has been
A x B / A+B. In which this case gives me 3.3333...:

(1) 10x5/10+5 = 50/15 = 10/3 = 3.3333...

(2) 1/10 + 1/5 = 1/x
1/10 + 2/10 = 1/x
3/10 = 1/x
x = 10/3 = 3.3333...

So, (1) = (2). If we say 3.33h, that means it's 3 hours and 0.33 of an hour (which would be aprox~ 20 minutes (1/3 of an hour, right?).
Therefore answer C.

Please let me know if I'm doing it wrong, which in my mind, has 80% probability haha.
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B's rate in question stem is mentioned as 10 min for half jar. Hence Actual rate will be 20min for full Jar.
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Danny and Ian are munching on a jar full of candies. Had Danny eaten a 05 Oct 2023, 07:43
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