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# Charissa travels from home to work average speed of 60 miles per hour

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Math Expert
Joined: 02 Sep 2009
Posts: 50002
Charissa travels from home to work average speed of 60 miles per hour  [#permalink]

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26 Apr 2017, 08:07
00:00

Difficulty:

15% (low)

Question Stats:

91% (01:33) correct 9% (00:52) wrong based on 71 sessions

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Charissa travels from home to work average speed of 60 miles per hour and from work to home at 40 miles per hour. If Charissa travels by the same route in both directions, which of the following is Charissa's average speed during her daily commute?

A. 42.1 miles per hour
B. 44.4 miles per hour
C. 45 miles per hour
D. 48 miles per hour
E. 50 miles per hour

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Senior Manager
Joined: 24 Apr 2016
Posts: 333
Re: Charissa travels from home to work average speed of 60 miles per hour  [#permalink]

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26 Apr 2017, 08:37
Let distance between Home and Work = D miles
Time taken to travel from Home to Work = D/60 hours
Time taken to travel from Work to Home = D/40 hours

Average Speed = Total Distance/Total Time
Average Speed = (D+D)/[(D/60)+(D/40)] = 2D/[100D/2400] = 2 * 2400/100 = 48 miles/hour

Answer is D. 48 miles per hour
Senior Manager
Joined: 06 Dec 2016
Posts: 250
Re: Charissa travels from home to work average speed of 60 miles per hour  [#permalink]

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26 Apr 2017, 10:02
Let d = 240
Then
distance = speed x time
240 = 60 x t
time = 4

distance = speed x time
240 = 40 x t
time = 6

distance = speed x time
480 = s x 10
speed = 48

Intern
Joined: 11 Dec 2016
Posts: 33
Re: Charissa travels from home to work average speed of 60 miles per hour  [#permalink]

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26 Apr 2017, 11:44
S=(d+d)/(d/60+d/40)
S=2d/(2d+3d/120)
S=240d/5d
S= 48mph
Re: Charissa travels from home to work average speed of 60 miles per hour &nbs [#permalink] 26 Apr 2017, 11:44
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