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A, B and C can complete one full round of a circular track in 10 minut

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A, B and C can complete one full round of a circular track in 10 minut  [#permalink]

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New post 06 Jan 2020, 06:57
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A
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C
D
E

Difficulty:

  75% (hard)

Question Stats:

43% (03:33) correct 57% (02:36) wrong based on 14 sessions

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A, B and C can complete one full round of a circular track in 10 minutes, 30 minutes and 50 minutes respectively. If A runs clockwise and B and C run anticlockwise, find the time after which they will meet for the first time.

A. 20 mins
B. 30 mins
C. 60 mins
D. 75 mins
E. 150 mins

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A, B and C can complete one full round of a circular track in 10 minut  [#permalink]

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New post 10 Jan 2020, 01:21
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Bunuel wrote:
A, B and C can complete one full round of a circular track in 10 minutes, 30 minutes and 50 minutes respectively. If A runs clockwise and B and C run anticlockwise, find the time after which they will meet for the first time.

A. 20 mins
B. 30 mins
C. 60 mins
D. 75 mins
E. 150 mins


Substitute the options and check
Number of rounds made by A, B & C after 't' mins = t/10, t/30 & t/50 respectively

No. of rounds -------- A ----- B ----- C
Time (mins)
-- 20 ----------------- 2 ---- 2/3 ---- 2/5 --> No
-- 30 ----------------- 3 ----- 1 ----- 3/5 --> No
-- 60 ----------------- 6 ----- 2 ----- 6/5 --> No
-- 75 ----------------- 7.5 --- 2.5 --- 1.5 --> Yes [Everyone met at mid way of track for the first time]
-- 150 ---------------- 15 ---- 5 ---- 3 --> No [Met for the second time]

IMO Option D
GMAT Club Bot
A, B and C can complete one full round of a circular track in 10 minut   [#permalink] 10 Jan 2020, 01:21
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A, B and C can complete one full round of a circular track in 10 minut

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