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James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one

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Bunuel
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James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  11 Jul 2016, 12:36
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James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?

A. 40 minutes.
B. 1 hour and 30 minutes.
C. 1 hour.
D. 1 hour and 40 minutes.
E. 2 hours and 15 minutes.
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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  11 Jul 2016, 13:53
B? 150 /(25×3 + 25) hrs

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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  13 Jul 2016, 16:50
Bunuel wrote:
James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?

A. 40 minutes.
B. 1 hour and 30 minutes.
C. 1 hour.
D. 1 hour and 40 minutes.
E. 2 hours and 15 minutes.


Rate =Output/Time
James Rate=25/20=5/4
Dylan Rate=25/60=5/12
Combined rate = 5/4+5/12= 20/12
CombinedRate*CombinedTime= CombinedOutput
20/12*t=150
t=90 mins => 1 hr 30 min
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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  13 Jul 2016, 18:32
James eats 25 marshmallows in 20 min so he eats 75 per hr.
Dylan eats 25 per hr.
Together they would eat 100 per hr. So 150 would take 1.5 hrs

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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  12 Nov 2016, 05:42
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Bunuel wrote:
James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?

A. 40 minutes.
B. 1 hour and 30 minutes.
C. 1 hour.
D. 1 hour and 40 minutes.
E. 2 hours and 15 minutes.


+1 for (B).
But the OA is C. Bunuel. Is something wrong?
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Bunuel
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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  12 Nov 2016, 05:48
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ShashankDave wrote:
Bunuel wrote:
James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?

A. 40 minutes.
B. 1 hour and 30 minutes.
C. 1 hour.
D. 1 hour and 40 minutes.
E. 2 hours and 15 minutes.


+1 for (B).
But the OA is C. Bunuel. Is something wrong?


Edited the OA. Thank you.
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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  15 Nov 2016, 17:43
Simple.

James's rate = 5/4
Dylan's Rate = 5/12

5/4 + 5/12 = 150/x
20/12 = 150/x
x = 90 min (or 1.5 hrs)

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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  30 Apr 2018, 12:20
James= 25 marshmallows in 20 min
Daylan = 25 marshmallows in 60 min

therefore, James can have 75 marshmallows in 60 min.

Total in 1 hour both can have 100 (75+25) Marshmallows.
for 150 Marshmallows,
1 hour ( 100 marshmallows) + 30 minutes ( 50 marshmallows )

Answer 1 hour 30 mins.
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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  10 May 2018, 05:01
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Bunuel wrote:
James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?

A. 40 minutes.
B. 1 hour and 30 minutes.
C. 1 hour.
D. 1 hour and 40 minutes.
E. 2 hours and 15 minutes.


James can eat 25 marshmallows is 20 minutes

Or James can eat 3 * 25 = 75 marshmallows in 20 * 3 = 60 minutes or 1 hour

Dylan can eat 25 marshmallows in 1 hour

Combined rate = 100 per hour

So to eat 150 marshmallows it takes 1:30 hours

(B)
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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  13 May 2018, 17:54
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Bunuel wrote:
James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?

A. 40 minutes.
B. 1 hour and 30 minutes.
C. 1 hour.
D. 1 hour and 40 minutes.
E. 2 hours and 15 minutes.


The combined rate, in marshmallows per minute, of James and Dylan is 25/20 + 25/60 = 5/4 + 5/12 = 15/12 + 5/12 = 20/12 = 5/3.

To eat 150 marshmallows, it will take them 150/(5/3) = (150 x 3)/5 = 30 x 3 = 90 minutes = 1 hour and 30 minutes.

Alternate solution:

Since James can eat 25 marshmallows in 20 minutes, he can eat three times as many in an hour. Thus he can eat 75 marshmallows in one hour. Therefore, the combined rate, in marshmallows per hour, of James and Dylan is 75 + 25 = 100.

So it takes them 150/100 = 1.5 hours = 1 hour and 30 minutes, to eat 150 marshmallows.

Answer: B
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Re: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one [#permalink] New post  16 Oct 2020, 05:51
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