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# An emergency vehicle travels 10 miles at a speed of 50 miles per hour.

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
An emergency vehicle travels 10 miles at a speed of 50 miles per hour.  [#permalink]

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08 Mar 2019, 03:03
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Difficulty:

25% (medium)

Question Stats:

79% (02:10) correct 21% (02:14) wrong based on 84 sessions

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An emergency vehicle travels 10 miles at a speed of 50 miles per hour. How fast must the vehicle travel on the return if the round-trip travel time is to be 20 minutes?

A. 55mph

B. 60mph

C. 65mph

D. 70mph

E. 75mph

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Re: An emergency vehicle travels 10 miles at a speed of 50 miles per hour.  [#permalink]

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08 Mar 2019, 04:28
1
Bunuel wrote:
An emergency vehicle travels 10 miles at a speed of 50 miles per hour. How fast must the vehicle travel on the return if the round-trip travel time is to be 20 minutes?

A. 55mph

B. 60mph

C. 65mph

D. 70mph

E. 75mph

total time taken in onward journet
10*60/50 = 12 mins
total duration of journet= 20 mins
time left= 8 mins
or say 8/60 hrs
so 10 = speed * 8/60
speed = 75 mph
IMO E
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Posts: 110
Re: An emergency vehicle travels 10 miles at a speed of 50 miles per hour.  [#permalink]

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08 Mar 2019, 07:54
1
time taken for one side journey = 10/50 hour = 60/5 =12 min
time for return journey should be 8 minutes to complete journey in 10 mins
i.e 2/3 of one side 2/3 of 12 is 8
for time to be 2/3 speed has to be 3/2 of 50 i.e 75
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Re: An emergency vehicle travels 10 miles at a speed of 50 miles per hour.  [#permalink]

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11 Mar 2019, 09:38
Bunuel wrote:
An emergency vehicle travels 10 miles at a speed of 50 miles per hour. How fast must the vehicle travel on the return if the round-trip travel time is to be 20 minutes?

A. 55mph

B. 60mph

C. 65mph

D. 70mph

E. 75mph

Since it takes 10/50 = 1/5 hr = 12 minutes to travel 10 miles at a speed of 50 mph, the return trip must take 8 minutes = 2/15 hr, in order for the round-trip travel time to be 20 minutes. Therefore, the speed of the return trip must be 10/(2/15) = 10 x 15/2 = 75 mph.

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Re: An emergency vehicle travels 10 miles at a speed of 50 miles per hour.   [#permalink] 11 Mar 2019, 09:38
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