Source: Manhattan Prep
If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip?
A. 4.2 miles/hour
B. 4.4 miles/hour
C. 4.8 miles/hour
D. 5 miles/hour
E. 5.8 miles/hour
The OA is C
If Lucy walks to work at a rate of 4 miles per hour, but she
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Let d = distance from home to workBTGmoderatorLU wrote:Source: Manhattan Prep
If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip?
A. 4.2 miles/hour
B. 4.4 miles/hour
C. 4.8 miles/hour
D. 5 miles/hour
E. 5.8 miles/hour
The OA is C
Average speed = (total distance traveled)/(total travel time)
total distance traveled = d + d = 2d
total travel time = travel time TO work + travel time FROM work
time = distance/speed
We get: total travel time = d/4 + d/6
= 3d/12 + 2d/12
= 5d/12
Average speed = 2d/(5d/12)
= (2d)(12/5d)
= 24d/5d
= 24/5
= 4.8
Answer: C
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BTGmoderatorLU wrote:Source: Manhattan Prep
If Lucy walks to work at a rate of 4 miles per hour, but she walks home by the same route at a rate of 6 miles per hour, what is Lucy's average walking rate for the round trip?
A. 4.2 miles/hour
B. 4.4 miles/hour
C. 4.8 miles/hour
D. 5 miles/hour
E. 5.8 miles/hour
The OA is C
We can use the equation:
average speed = (total distance)/(total time)
If we let distance each way = 12, we have:
Average = (12 + 12)/(12/4 + 12/6)
Average = 24/5 = 4.8 mph
Answer: C
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