GMAT Quant Questionbank | Rates

You may get two to four questions from Rates - speed, distance, time, races Work Time and Pipes Cisterns in the GMAT Focus Edition quant section. The concepts tested include computing distance, speed, time, relative speed, average speed, speed of boats in streams, speed of aircrafts with tailwind, computing time taken to fill a tank, time taken to complete a task, ratio in which one or more workers share wages given different rates of work.

Curated sample GMAT questions from these topics are presented here below. Attempt these questions and check if you have got the correct answer. One can use the explanatory answer or Video explanation made available (wherever provided) to help crack important GMAT quant questions.

1. A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?

   1. 240 meters
   2. 360 meters
   3. 420 meters
   4. 600 meters
   5. Cannot be determined

   Correct AnswerChoice A
   The length of the train is 240 meters.

   Explanation Video Solution

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2. A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?

   1. 1777 meters
   2. 1822 meters
   3. 400 meters
   4. 1111 meters
   5. None of these

   Correct AnswerChoice C
   The length of the train is 400 meters.

   Explanation Video Solution

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3. Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim's travel in mph?

   1. 42 mph
   2. 36 mph
   3. 37.5 mph
   4. 42.5 mph
   5. 48 mph

   Correct AnswerChoice C
   Jim's average speed of travel is 37.5 mph.

   Explanation Video Solution

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4. A runs 25% faster than B and is able to allow B a lead of 7 meters to end a race in dead heat. What is the length of the race?

   1. 10 meters
   2. 25 meters
   3. 45 meters
   4. 15 meters
   5. 35 meters

   Correct AnswerChoice E
   The length of the race is 35 meters.

   Explanation Video Solution

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5. Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?

   1. 2 hours 30 minutes
   2. 3 hours
   3. 2 hours
   4. 1 hour 45 minutes
   5. None of these

   Correct AnswerChoice B
   Jane travelled for 3 hours @ 60 mph

   Explanation Video Solution

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6. Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?

   1. 60 mph
   2. 56.67 mph
   3. 53.33 mph
   4. 64 mph
   5. 66.67 mph

   Correct AnswerChoice D
   Steve's average speed for the entire journey is 64 mph.

   Explanation Video Solution

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7. Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and completed half the task and then Jane takes over and completes the second half, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose.

   1. 25 days
   2. 30 days
   3. 60 days
   4. 65 days
   5. 36 days

   Correct AnswerChoice C
   Jose alone will take 60 days.

   Explanation Video Solution

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8. A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?

   1. 18 days
   2. 27 days
   3. 26.67 days
   4. 16 days
   5. 12 days

   Correct AnswerChoice A
   The project will be completed in 18 days.

   Explanation Video Solution

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9. Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

   1. 16 days
   2. 12 days
   3. 8 days
   4. 6 days
   5. 18 days

   Correct AnswerChoice C
   Working together, Ram and Krish will complete the task in 8 days.

   Explanation Video Solution

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