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Bunuel
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A man travels a distance of 20 miles at 60 miles per hour and then re 01 Mar 2018, 00:43
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85% (01:24) correct 15% (01:54) wrong based on 288 sessions

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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
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B
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A man travels a distance of 20 miles at 60 miles per hour and then re 01 Mar 2018, 10:08
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Bunuel
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
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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
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A man travels a distance of 20 miles at 60 miles per hour and then re 01 Mar 2018, 04:05
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Bunuel
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
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Average speed for the round trip : 2.x.y/x+y
=2.40.60/40+60
=2.40.60/10
=48
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A man travels a distance of 20 miles at 60 miles per hour and then re 02 Mar 2018, 10:36
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Bunuel
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
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We can use the following formula:

average = (total distance)/(total time)

Average = 40/(20/60 + 20/40)

Average = 40/(1/3 + 1/2)

Average = 40/(2/6 + 3/6)

Average = 40/(5/6) = 240/5 = 48

Answer: B
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A man travels a distance of 20 miles at 60 miles per hour and then re 02 Mar 2018, 10:54
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Bunuel
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
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Average Speed= Total distance traveled/total time taken
=40/(1/3+1/2)=40/(5/6)
=48
Answer B
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A man travels a distance of 20 miles at 60 miles per hour and then re 03 Mar 2018, 03:44
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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
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IMO B
i will show in table which is attached bellow
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A man travels a distance of 20 miles at 60 miles per hour and then re 16 Mar 2020, 06:30
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Think about it like that.

we have a 40-mile distance in total (20 + 20 ). Keep that in mind

1) he covers a 20-mile distance at a speed of 60 mph in 2/6 hrs (or 2/6 * 60 =20 min ) ( 1 hr --> 60 miles
x hrs --> 20miles 60x = 20, x=2/6)

2) he now covers a 20-mile distance at a speed of 40 mph in 1/2 hrs (or 1/2 * 60= 30 min) (same as above)

1/2 + 2/6 = 5/6 hrs . Hence, he covers a 40-mile distance in 5/6 hrs (or 50 min)

Speed is = miles / hr , so 40 miles / (5/6) = 48
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A man travels a distance of 20 miles at 60 miles per hour and then re 29 Jun 2020, 05:42
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Going:
Distance- 20
Speed - 60
Time - 1/3

Returning:
Distance -20
Speed - 40
Time - 1/2

Solution:
Distance = 40
Time = 1/3 + 1/2
= 5/6
Speed = 40 * 6/5
= 48 (answer b)
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A man travels a distance of 20 miles at 60 miles per hour and then re 06 Aug 2021, 22:19
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