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Tips on cracking Aptitude Questions on Distance, Speed & Time

Tips on cracking Aptitude Questions on Distance, Speed & Time [ https://learningpundits.com/module-view/49-speed-and-distance/2-self-assessment-quiz-on-speed-and-distance/ ].<br><br> LearningPundits helps Job Seekers make great CVs [ https://learningpundits.com/module-view/1-cv-preparation-for-freshers/1-cv-writing-tips-for-freshers/ ] , master English Grammar and Vocabulary [ https://learningpundits.com/course/4-english-grammar/ ] , ace Aptitude Tests [ https://learningpundits.com/course/11-mathematical-aptitude/ ], speak fluently in a Group Discussion [ https://learningpundits.com/module-view/6-group-discussion-questions/1-tips-for-speaking-in-a-group-discussion/ ] and perform well in Interviews [ https://learningpundits.com/course/2-personal-interview/ ] We also conduct weekly online contests on Aptitude and English [ https://learningpundits.com/contest ]. We also allow Job Seekers to apply for Jobs [ https://learningpundits.com/applyForJobs ]

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Tips on cracking Aptitude Questions on Distance, Speed & Time

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  1. 3 TIPS on cracking Aptitude Questions on Distance, Speed and Time

  2. Tip #1: Use the formula Speed = Distance/ time while ensuring that units are same Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Calculate the duration of the flight. Solution: Let the average duration of the flight be t hours. Distance = 600 km. Average Speed (km/ hr) = 600/ t Average Speed – 200 = 600 / (t + 0.5) (600/ t) – 200 = 600 / (t + 0.5) (600 – 200 t) (t + 0.5) = 600 t => 2t2 + t - 3 = 0 =>t = 1 hr Duration of the flight = 1.5 hrs Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 km/hr. But he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 P.M.? Solution: According to the question, (D / 10) – (D / 15) = 2 =>D = 60 km. Time taken to reach A at 10 km/hr = 60 / 10 = 6 hours. (Starting time is 8 AM) Therefore, we need to find the speed to cover 60 km should be in 5 hours. Hence, speed = 60 / 5 =12 km/hr.

  3. Tip #2: If a person travels same distances with different speeds, then the average speed is not the arithmetic mean but the harmonic mean. If a person covers a distance d first at x km/hr and then covers the same distance d at y km/hr, then the average speed is: = Total distance travelled/ Total time taken = 2d/ (d/x + d/y) = 2d/ [(yd + xd)/xy] = 2dxy/[d(x+y)] = 2xy/ x+y (Harmonic mean of x and y) Question: A travels 25km at 50 km/hr and then 25km again with 70km/hr. What is A’s average speed during the whole journey? Solution: Average speed for the whole journey = (2x50x70) / (50+70)= 58.3km/hr

  4. Tip #3: If A runs x times faster than B, A’s speed is actually 1+x the speed of B. • Question: A runs 1⅔ times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time? • Solution: • Speed of A, Sa = 5/3 x Sb • Let the distance of the course be ‘d’ meters • Time taken by A to cover distance ‘d’ = Time taken by B to cover distance ‘d-80’ • d/[5/3 x Sb] = (d-80)/Sb • 3d = 5d – 400 • 2d = 640 => d = 200m • Question: A runs 1⅔ times faster than B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time? • Solution: • Speed of A, Sa = (1 + 5/3) x Sb = 8/3 x Sb • Let the distance of the course be ‘d’ meters • Time taken by A to cover distance ‘d’ = Time taken by B to cover distance ‘d-80’ • d/[8/3 x Sb] = (d-80)/Sb • 3d = 8d – 640 • 5d = 640 => d = 128m

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