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12 Feb 2018, 00:08
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A girl rode her bicycle from home to school, a distance of 15 miles, at an average speed of 15 miles per hour. She returned home from school by walking at an average speed of 5 miles per hour. What was her average speed for the round trip if she took the same route in both directions?
(A) 7.5 miles per hour
(B) 10 miles per hour
(C) 12.5 miles per hour
(D) 13 miles per hour
(E) 25 miles per hour
(A) 7.5 miles per hour
(B) 10 miles per hour
(C) 12.5 miles per hour
(D) 13 miles per hour
(E) 25 miles per hour
12 Feb 2018, 01:13
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Time taken to ride from home to school= \(\frac{15}{15}\)= 1 hour
Time taken to walk from school to home= \(\frac{15}{5}\)= 3 hour
Total distance= 15+15= 30 miles
Total time= 3+1= 4 hours
Average speed= \(\frac{Total Distance}{Total Time}\)= \(\frac{30}{4}\)= 7.5 miles per hour
Answer:A.
Time taken to walk from school to home= \(\frac{15}{5}\)= 3 hour
Total distance= 15+15= 30 miles
Total time= 3+1= 4 hours
Average speed= \(\frac{Total Distance}{Total Time}\)= \(\frac{30}{4}\)= 7.5 miles per hour
Answer:A.
12 Feb 2018, 02:32
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Bunuel
A girl rode her bicycle from home to school, a distance of 15 miles, at an average speed of 15 miles per hour. She returned home from school by walking at an average speed of 5 miles per hour. What was her average speed for the round trip if she took the same route in both directions?
(A) 7.5 miles per hour
(B) 10 miles per hour
(C) 12.5 miles per hour
(D) 13 miles per hour
(E) 25 miles per hour
(A) 7.5 miles per hour
(B) 10 miles per hour
(C) 12.5 miles per hour
(D) 13 miles per hour
(E) 25 miles per hour
In addition to the approach shown above, we can also use the properties of ratios.
This is a Logical methodology.
Since she walked home at 1/3 of the speed, the walk took 3 times the time.
Then the ratio of times is 1:3 giving a total of 4 'time units'.
Our two speeds are 15 and 5 which have a difference of 10.
Dividing 10 into the 4 'units' gives 2.5.
Then we need to add one 'unit' of 2.5 to the more dominant speed (which is to say, the one she spent more time at).
This is 5 + 2.5 = 7.5
(A) is our answer.
