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# GMAT Quiz problem

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Intern
Joined: 19 Aug 2005
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GMAT Quiz problem [#permalink]  06 Sep 2005, 13:47
Can someone please post their work on this one? Thanks

Mia traveled the first one third of the distance between Boston and New York at an average speed of 60 mph and the rest of the distance at an average speed of 90 mph speed. What is the average speed of her total journey?

77.15 mph

75 mph

80 mph
72 mph

72.85 mph

Intern
Joined: 19 Aug 2005
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How did you arrive at this answer?

thx
Senior Manager
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Easiest way is just to plug in numbers. Say her journey was 180 miles total, for example.

The first one-third, or 60 miles, were travelled at 60 miles per hour, taking one hour.

The rest, or the remaining 120, were travelled at 90 miles per hour, taking 120/90 = 4/3 of an hour, or 1 hour and 20 minutes.

Total time of the journey = 2 hours and 20 minutes, or 2-1/3 hours.

Total mileage = 180 miles

180 miles / 2-1/3 hours = 77 1/7 mph =~77.15 mph or A.
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