GMAT-Quantitative Aptitude

GMAT-Quantitative Aptitude
161. The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distancewill the boat cover during the same time going against the stream?
  • 80 km
  • 180 km
  • 60 km
  • 100 km
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162. Two friends A and B run around a circular track of length 510 metres, starting from the same point, simultaneously and in the same direction. A who runs faster laps B in the middle of the 5th round. If A and B were to run a 3 km race long race, how much start, in terms of distance, should A give B so that they finish the race in a dead heat?
  • 545.45 metres
  • 666.67 metres
  • 857.14 metres
  • Cannot be determined
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163. I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?
  • 4 hours
  • 2 hours
  • 3 hours
  • 2 hours 24 minutes
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164. By walking at 3/4th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?
  • 30 min
  • 60 min
  • 70 min
  • 50 min
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165. A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.
  • 20 kms
  • 25 kms
  • 45 kms
  • 40 kms
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166. Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?
  • 72 kmph
  • 32 mph
  • 20 mph
  • None of these
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167. Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?
  • 2 hours
  • 3 hours 20 minutes
  • 4 hours 40 minutes
  • 3 hours 12 minutes
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168. Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance betweenDelhi and Mumbai is 1260 kms?
  • 60 km/hr
  • 90 km/hr
  • 120 km/hr
  • 135 km/hr
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169. Two trains, 200 and 160 meters long take a minute to cross each other while traveling in the same direction and take only 10 seconds when they cross in opposite directions. What are the speeds at which the trains are traveling?
  • 21 m/s; 15 m/s
  • 30 m/s; 24 m/s
  • 18 m/s; 27 m/s
  • 15 m/s; 24 m/s
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170. An express train traveling at 72 km/hr speed crosses a goods train traveling at 45 km/hr speed in the opposite direction in half a minute. Alternatively, if the express train were to overtake the goods train, how long will it take to accomplish the task. Assume that the trains continue to travel at the same respective speeds as mentioned in case 1.
  • Cannot be determined
  • 30 seconds
  • 150 seconds
  • 130 seconds
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