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27 Mar 2024, 01:30
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
93% (01:06) correct
7%
(01:37)
wrong
based on 56
sessions
History
Date
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Not Attempted Yet
A cyclist travels 20 miles at a speed of 15 miles per hour. If he returns along the same path, at what speed did he return?
(1) The cyclist took 2 hrs for the entire trip.
(2) The average speed for the round trip is 20 miles per hour.
(1) The cyclist took 2 hrs for the entire trip.
(2) The average speed for the round trip is 20 miles per hour.
27 Mar 2024, 02:45
Kudos
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From the question stem one gets the following info: The cyclist travels 20 miles at a speed of 15 miles per hour. This means that he/she do this part of the trip in \(\frac{4}{3}\) hours. One also knows that the second trip is also 20 miles.
(1) The cyclist took 2 hrs for the entire trip.
As the cyclist travelled \(\frac{4}{3}\) hours in the first leg and his/her total time is 2 hours, that means that the second half of the trip took \(\frac{2}{3}\) hours.
Speed for second half of the trip: \(\frac{20}{\frac{2}{3}}\)
\(20*\frac{3}{2} \)
\(30\)
SUFFICIENT
(2) The average speed for the round trip is 20 miles per hour.
If the average speed for the round trip is 20mph and the entire distance of the round trip is 40miles, then the entire round trip takes 2 hours, which is identical to the first statement. No need to repeat solving for the speed of the second trip as the first statement, alone, was enough to solve for the speed of the second trip.
SUFFICIENT
ANSWER D
(1) The cyclist took 2 hrs for the entire trip.
As the cyclist travelled \(\frac{4}{3}\) hours in the first leg and his/her total time is 2 hours, that means that the second half of the trip took \(\frac{2}{3}\) hours.
Speed for second half of the trip: \(\frac{20}{\frac{2}{3}}\)
\(20*\frac{3}{2} \)
\(30\)
SUFFICIENT
(2) The average speed for the round trip is 20 miles per hour.
If the average speed for the round trip is 20mph and the entire distance of the round trip is 40miles, then the entire round trip takes 2 hours, which is identical to the first statement. No need to repeat solving for the speed of the second trip as the first statement, alone, was enough to solve for the speed of the second trip.
SUFFICIENT
ANSWER D
27 Mar 2024, 08:37
Kudos
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Bunuel
Given: Forward speed = 15 | Distance (one way) = 20 miles i.e. time to travel forward distance = 20/15 = 4/3 hours = 1 hour and 20 minutes
Question: What is the return speed?
Statement 1: The cyclist took 2 hrs for the entire trip.
i,e, Return time = 2 hours - 1 hour 20 minutes = 40 minutes
i.e. Return speed = 20 miles in 40 minutes (which can be converted in any unit required) hence
SUFFICIENT
Statement 2: The average speed for the round trip is 20 miles per hour.
Average Speed = Total Distance / Total time
Total Time = 40 miles / 20 miles/hour = 2 hours
i,e, Return time = 2 hours - 1 hour 20 minutes = 40 minutes
i.e. Return speed = 20 miles in 40 minutes (which can be converted in any unit required) hence
SUFFICIENT
Answer: Option D
