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

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Bunuel
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Charissa travels from home to work average speed of 60 miles per hour [#permalink] New post  26 Apr 2017, 08:07
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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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quantumliner
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Re: Charissa travels from home to work average speed of 60 miles per hour [#permalink] New post  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
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matthewsmith_89
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Re: Charissa travels from home to work average speed of 60 miles per hour [#permalink] New post  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

Which is answer D :-D
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asfandabid
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Re: Charissa travels from home to work average speed of 60 miles per hour [#permalink] New post  26 Apr 2017, 11:44
S=(d+d)/(d/60+d/40)
S=2d/(2d+3d/120)
S=240d/5d
S= 48mph
Answer: D
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coylahood
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Re: Charissa travels from home to work average speed of 60 miles per hour [#permalink] New post  26 Sep 2019, 06:26
Let the distance between her home and her place of work be 120miles

Time spent travelling from home to work = 120/60 = 2hrs
Time spent travelling from work to home = 120/40 = 3 hours
Total time spent travelling = 5hours
Total distance covered = 240 miles
Average speed = 240/5 = 48mph.
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Abhishek009
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Re: Charissa travels from home to work average speed of 60 miles per hour [#permalink] New post  26 Sep 2019, 09:20
Bunuel wrote:
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


Shortcut Formula for this is -

\(\frac{2*60*40}{60+40}=48\), Answer must be (D)
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Re: Charissa travels from home to work average speed of 60 miles per hour [#permalink] New post  29 Sep 2019, 19:17
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Bunuel wrote:
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


We can use the formula:

average = (total distance) / (total time)

If we let the distance each way = 120, then we have:

average = 240 / (120/60 + 120/40) = 240 / (2 + 3) = 240/5 = 48 mph

Answer: D
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Re: Charissa travels from home to work average speed of 60 miles per hour [#permalink] New post  30 Mar 2020, 09:45
Bunuel wrote:
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


Given: Charissa travels from home to work average speed of 60 miles per hour and from work to home at 40 miles per hour.

Asked: If Charissa travels by the same route in both directions, which of the following is Charissa's average speed during her daily commute?

From home to work:
Distance = x miles
Speed = 60 miles/hr
Time = x/60 hrs

From work to home:
Distance = x miles
Speed = 40 miles/hr
Time = x/40 hrs

Average speed = Total distance / total time = 2x / (x/60 + x/40) = 2x / (5x/120) = 2*120/5 = 48 miles /hr

IMO D
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Re: Charissa travels from home to work average speed of 60 miles per hour [#permalink]
30 Mar 2020, 09:45
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