A cyclist rode up and down a mountain along the same route each way. What was his average speed for the full trip?
1) His uphill speed averaged 22 kilometers per hour, and his downhill speed averaged 48 kilometers per hour.
2) The route is 16 kilometers each way.
The OA is A
Source: Veritas Prep
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A cyclist rode up and down a mountain along the same route
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Let's take each statement one by one.swerve wrote:A cyclist rode up and down a mountain along the same route each way. What was his average speed for the full trip?
1) His uphill speed averaged 22 kilometers per hour, and his downhill speed averaged 48 kilometers per hour.
2) The route is 16 kilometers each way.
The OA is A
Source: Veritas Prep
1) His uphill speed averaged 22 kilometers per hour, and his downhill speed averaged 48 kilometers per hour.
Say the distance is 22*24 kms; I chose 22*24 kms so that the calculation becomes easy.
Thus, time taken going up = (22*24) / (22) = 48 hours and time taken going up = (22*24) / (48) = 22 hours
Total distance = 2*22*48 kms and total time taken = 22 + 48 = 70
Average speed = (2*22*48) / (70) kmph. Sufficient
2) The route is 16 kilometers each way.
We do not know the speeds. insufficient.
The correct answer: A
Hope this helps!
-Jay
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