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Updated on: 13 Oct 2013, 03:01
Originally posted by anilnandyala on 02 Nov 2010, 06:56.
Last edited by Bunuel on 13 Oct 2013, 03:01, edited 1 time in total.
Last edited by Bunuel on 13 Oct 2013, 03:01, edited 1 time in total.
Moved to PS forum.
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Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip
A. 35
B. 40
C. 45
D. 50
E. 55
A. 35
B. 40
C. 45
D. 50
E. 55
02 Nov 2010, 07:04
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anilnandyala
susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip
a 35
b 40
c 45
d 50
e 55
a 35
b 40
c 45
d 50
e 55
\(average \ speed=\frac{total \ distance \ covered}{total \ time}\);
Total distance covered = 30 + 30 = 60 miles;
Total time = 30/30 + 30/60 = 3/2 hours;
\(average \ speed=\frac{total \ distance \ covered}{total \ time}=\frac{60}{\frac{3}{2}}=40\).
Answer: B.
jsphcal
Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip and then at an average speed of 60 miles per hour for the remaining 30 miles of the trip. If she made no stops during the trip, what was Susan's average speed, in miles per hour, for the entire trip?
a. 35
b. 40
c. 45
d. 50
e. 55
a. 35
b. 40
c. 45
d. 50
e. 55
The Common Formula is Average speed = Total distance / Total time.
However if the distances traveled with two different speeds are the same (as 30 in this case), we can calculate the average speed as per following rule.
ratio of two distinct speeds = 1:2
Difference of two distinct speeds = 60 - 30 = 30
Now divide this difference by the sum of intergers of ratio (i.e. by 1+2 = 3 in this case ) 30/3 = 10
Average speed will be 10 X 1 part away from the lower speed i.e. 30 + 10 X 1 = 40.
The benefit of this method is once practiced enough you can calculate the average speed mentally or with minimal calculation and thereby can save valuable time on the GMAT
Regards,
Abhijit
