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Riding her bicycle downhill, Sam reached the bottom of the 10-mile trail 10 minutes faster than it took her, riding 12 miles per hour, to reach the top of the trail. What was her downhill speed?
- a)12 miles per hour
- b)15 miles per hour
- c)18 miles per hour
- d)21 miles per hour
- e)24 miles per hour
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Riding her bicycle downhill, Sam reached the bottom of the 10-mile tra...
Step 1: Question statement and Inferences
Riding 10 miles at her new speed took Sam 10 minutes less than riding the same distance at 12 miles per hour. What was this new speed?
Step 2: Finding required values
Start by finding the time it took Sam to reach the top of the hill.
Her uphill speed, u = 12 miles per hour
Distance travelled = 10 miles
Now considering the downhill journey, 
Step 3: Calculating the final answer
Answer: Option (B)
Most Upvoted Answer
Riding her bicycle downhill, Sam reached the bottom of the 10-mile tra...
Problem Analysis:
We need to find Sam's downhill speed when she reached the bottom of the trail, given that she took 10 minutes less time to cover the 10-mile downhill distance than the time she took to cover the 10-mile uphill distance. We can use the formula for distance, speed, and time to solve the problem.
Downhill Speed Calculation:
Let's assume Sam's downhill speed as "s" miles per hour.
Time taken for Sam to cover the uphill distance = (Distance/Speed) = (10/12) = 5/6 hours
Time taken for Sam to cover the downhill distance = (Distance/Speed) = (10/s) hours
Given, Sam took 10 minutes less time to cover the downhill distance than the uphill distance.
(10/s) + (10/60) = (5/6) - (10/60)
(10/s) = (5/6) - (10/60) - (10/60)
(10/s) = (1/2) - (1/6)
(10/s) = (1/3)
s = 30 miles/hour
Answer: Therefore, Sam's downhill speed was 15 miles per hour (Option B).
We need to find Sam's downhill speed when she reached the bottom of the trail, given that she took 10 minutes less time to cover the 10-mile downhill distance than the time she took to cover the 10-mile uphill distance. We can use the formula for distance, speed, and time to solve the problem.
Downhill Speed Calculation:
Let's assume Sam's downhill speed as "s" miles per hour.
Time taken for Sam to cover the uphill distance = (Distance/Speed) = (10/12) = 5/6 hours
Time taken for Sam to cover the downhill distance = (Distance/Speed) = (10/s) hours
Given, Sam took 10 minutes less time to cover the downhill distance than the uphill distance.
(10/s) + (10/60) = (5/6) - (10/60)
(10/s) = (5/6) - (10/60) - (10/60)
(10/s) = (1/2) - (1/6)
(10/s) = (1/3)
s = 30 miles/hour
Answer: Therefore, Sam's downhill speed was 15 miles per hour (Option B).
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Riding her bicycle downhill, Sam reached the bottom of the 10-mile trail 10 minutes faster than it took her, riding 12 miles per hour, to reach the top of the trail. What was her downhill speed?a)12 miles per hourb)15 miles per hourc)18 miles per hourd)21 miles per houre)24 miles per hourCorrect answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Riding her bicycle downhill, Sam reached the bottom of the 10-mile trail 10 minutes faster than it took her, riding 12 miles per hour, to reach the top of the trail. What was her downhill speed?a)12 miles per hourb)15 miles per hourc)18 miles per hourd)21 miles per houre)24 miles per hourCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Riding her bicycle downhill, Sam reached the bottom of the 10-mile trail 10 minutes faster than it took her, riding 12 miles per hour, to reach the top of the trail. What was her downhill speed?a)12 miles per hourb)15 miles per hourc)18 miles per hourd)21 miles per houre)24 miles per hourCorrect answer is option 'B'. Can you explain this answer?.
Riding her bicycle downhill, Sam reached the bottom of the 10-mile trail 10 minutes faster than it took her, riding 12 miles per hour, to reach the top of the trail. What was her downhill speed?a)12 miles per hourb)15 miles per hourc)18 miles per hourd)21 miles per houre)24 miles per hourCorrect answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Riding her bicycle downhill, Sam reached the bottom of the 10-mile trail 10 minutes faster than it took her, riding 12 miles per hour, to reach the top of the trail. What was her downhill speed?a)12 miles per hourb)15 miles per hourc)18 miles per hourd)21 miles per houre)24 miles per hourCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Riding her bicycle downhill, Sam reached the bottom of the 10-mile trail 10 minutes faster than it took her, riding 12 miles per hour, to reach the top of the trail. What was her downhill speed?a)12 miles per hourb)15 miles per hourc)18 miles per hourd)21 miles per houre)24 miles per hourCorrect answer is option 'B'. Can you explain this answer?.
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