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01 Mar 2018, 00:43
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
85% (01:25) correct
15%
(01:54)
wrong
based on 286
sessions
History
Date
Time
Result
Not Attempted Yet
A man travels a distance of 20 miles at 60 miles per hour and then returns over the same route at 40 miles per hour. What is his average rate for the round trip in miles per hour?
(A) 50
(B) 48
(C) 47
(D) 46
(E) 45
(A) 50
(B) 48
(C) 47
(D) 46
(E) 45
01 Mar 2018, 10:08
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Bunuel
Average speed = \(\frac{TotalDistance}{TotalTime}\)
RT = D
T = D/R
Note: dividing distance in miles by rate in miles per hour yields time in hours.*
Total time = (Leg 1 + Leg 2)
Leg 1 time: \(\frac{D}{r}=\frac{20mi}{60mph}=\frac{20}{60}hrs=\frac{1}{3}\) hour
Leg 2 time: \(\frac{D}{r}=\frac{20}{40}=\frac{1}{2}\) hour
Total time: \(\frac{1}{3}hr +\frac{1}{2}hr=\frac{5}{6}\) hour
Total Distance = (20mi + 20mi) = 40 miles
Ave speed*: \(\frac{40}{(\frac{5}{6})}=40\\
*\frac{6}{5}=48\) mph
Answer B
*It works because miles units cancel.
\(\frac{miles}{(\frac{miles}{hour})}=(miles*\frac{hour}{miles})=hours\)
**With units. If you stay with time in hours, then you don't need units, but that fact may not be obvious. This example is \(\frac{D}{t}=r\):
\(\frac{40miles}{(\frac{5}{6}hour)}=(40miles * \frac{6}{5hrs})=48\frac{miles}{hour}=48mph\)
\(\frac{miles}{hour}\) IS mph
General Discussion
01 Mar 2018, 04:05
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Bunuel
Average speed for the round trip : 2.x.y/x+y
=2.40.60/40+60
=2.40.60/10
=48
