Manhattan Review Movement

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Movement distance = rate (speed) × time

d  r t Average rate= total distance / total time The time a journey takes is directly proportional to the _______ and inversely proportional to the ___________. What takes longer: A

To drive from A to B at 100 miles per hour and return to A at 50 miles per hour. OR

B

To drive from A to B and back to A at 75 miles per hour?

Janet can run 100 meters in 15 seconds. If she could run at this average speed indefinitely, how many minutes would it take her to finish a 26 mile marathon ( 1 mile = 1.6 km) ?

54

Dennis will jog from home at x miles per hour and then walk back home by the same route at 60% of his jogging speed. How many miles from home can Dennis jog so that he spends a total of 4 hours jogging and walking? 2𝑥

3𝑥

15𝑥

8𝑥

3𝑥

5

5

8

15

2

A train always travels at one of two speeds: 160 km/hr in rural areas and 40 km/hr in urban areas. Was its average speed from A to B greater than 100 km/hr? (1) More than 2/3 of the distance from A to B is through rural areas. (2) Less than 3/4 of the distance from A to B is through rural areas.

55

Orange (GMAT Review 11th Edition) PS (Problem Solving) 185,223 DS (Data Sufficiency) 33,79,93 Green (GMAT Quantitative Review) PS (Problem Solving) 21,69,119,136 DS (Data Sufficiency) 69

56

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