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22 Jun 2013, 01:04
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
70% (02:36) correct
30%
(02:16)
wrong
based on 311
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Pat traveled a distance of 240 miles in x hours. For a part of journey he was travelling at constant speed of 40 miles per hour whereas for the remaining part of the journey he was traveling at constant speed of z miles per hour. How long was he traveling at z miles per hour.
(1) Average speed for the journey is 48 miles per hour.
(2) z > 48 miles per hour
(1) Average speed for the journey is 48 miles per hour.
(2) z > 48 miles per hour
22 Jun 2013, 10:06
Kudos
Bookmarks
got the right answer.. but in almost 5 mins! My approach was to make an RTD chart. i.e
R T D
40 t 40t
Z x-t Z(x-t)
x 240
thus 40t + Z(x-t) = 240
Now statement 1 just gives x in the equation i.e 5 hrs. We still need either of Z or t to get a linear equation.
Statement 2 alone says nothing about x or t.
combined says x= 5 hrs z>48 but Z can be any value higher than 48. As z increases the time of travel at z speed will reduce while at 40 miles/hr will increase to make the total time of travel equal to 5 hrs. Hence insufficient.
R T D
40 t 40t
Z x-t Z(x-t)
x 240
thus 40t + Z(x-t) = 240
Now statement 1 just gives x in the equation i.e 5 hrs. We still need either of Z or t to get a linear equation.
Statement 2 alone says nothing about x or t.
combined says x= 5 hrs z>48 but Z can be any value higher than 48. As z increases the time of travel at z speed will reduce while at 40 miles/hr will increase to make the total time of travel equal to 5 hrs. Hence insufficient.
22 Jun 2013, 10:58
Kudos
Bookmarks
Pat traveled a distance of 240 miles in x hours. For a part of journey he was travelling at constant speed of 40 miles per hour whereas for the remaining part of the journey he was traveling at constant speed of z miles per hour. How long was he traveling at z miles per hour.
(1) Average speed for the journey is 48 miles per hour. (Total time)=(Total distance)/(Average Speed), thus this statement implies that (Total time)=x=240/48=5 hours. So, we have that zt+40(5-t)=240 --> zt+200-40t=240 --> t(z-40)=40. Not sufficient.
(2) z > 48 miles per hour. Clearly insufficient.
(1)+(2) We have that t(z-40)=40 and z>48. Still insufficient to get t.
Answer: E.
(1) Average speed for the journey is 48 miles per hour. (Total time)=(Total distance)/(Average Speed), thus this statement implies that (Total time)=x=240/48=5 hours. So, we have that zt+40(5-t)=240 --> zt+200-40t=240 --> t(z-40)=40. Not sufficient.
(2) z > 48 miles per hour. Clearly insufficient.
(1)+(2) We have that t(z-40)=40 and z>48. Still insufficient to get t.
Answer: E.
