Excluding stoppages , the speed of bus is 54km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?

• ((54-45)*60)/54=540/54=10 minute(ans)
• 12 years agoHelpfull: Yes(29) No(7)
• 10mins.
  
  to go 45km the bus needs 45/54=5/6hr.
  so, the stoppage time is (1-5/6)=1/6hr = 10mins.
• 12 years agoHelpfull: Yes(26) No(4)
• In 1 hr bus travelled 45 kms in 50 mins with stoppages of 10 mins.
• 12 years agoHelpfull: Yes(6) No(9)
• for each stop the bus goes (54-45)=9 km less.
  to go 54 km it takes =60 min
  " " 9 km " " =60/54*9
  =10 mins.
  therefore it stops for 10 mins every hour.
  
• 9 years agoHelpfull: Yes(2) No(0)
• if the bus travels 9km less then relative speed is also 9km per hour then avg speed is 540/11 and the time is 9 divided by 540 by 11, 11 min.
• 11 years agoHelpfull: Yes(0) No(4)
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  GMAT Club Forum Index Problem Solving (PS)
  Excluding stoppages, the speed of a bus is 54km/hr and including : Problem Solving (PS)
  TAGS:
  Difficulty: 700-Level Source: 800 Score
  Topic Discussion
  Page 1 of 1
  
  stonecold Apr 7, 2017
  00:00 ABCDE
  DIFFICULTY: 65% (hard) QUESTION STATS: based on 128 sessions
  55% (01:25) correct
  45% (01:39) wrong
  Excluding stoppages, the speed of a bus is 54km/hr and including stoppage, it is 45km/hr.For how many minutes does the bus stop per hour?
  
  A)9
  B)10
  C)12
  D)20
  E)15
  Spoiler: OA
  
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  Most Helpful Expert Reply
  GMATPrepNow
  EXPERT'S
  POST
  Apr 7, 2017
  stonecold wrote:
  Excluding stoppages, the speed of a bus is 54km/hr and including stoppage, it is 45km/hr.For how many minutes does the bus stop per hour?
  
  A)9
  B)10
  C)12
  D)20
  E)15
  
  
  Great question.
  
  The average speed (including stoppage) is 45 km/hr
  Distance = (rate)(time)
  So, in ONE hour, the distance traveled = (45)(1) = 45 km
  
  The average speed (excluding stoppage) is 54 km/hr
  At this speed, HOW long will it take the bus travel 45 km?
  time = distance/rate
  So, time = 45/54
  = 5/6 hours
  = 50 minutes
  
  At a speed of 54 km/hr, the bus can travel 45 km every 50 minutes.
  So, it must be motionless for the other 10 minutes.
• 6 years agoHelpfull: Yes(0) No(1)