Sita ran to the top of a steep hill at an average pace of 6 miles per hour. She took the exact same trail back down. To her relief, the descent was much faster; her average speed rose to 14 miles per hour. If the entire run took Sita exactly one hour to complete and she did not make any stops, how many miles is the trail one way?
A. 4.2
B. 6.6
C. 8.4
D. 10
E. None
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ST=D,
Speed inversely proportional to time when distance is constant.
Means, Ratio of speeds = 1/ratio of time.
S1/S2 = (T2/T1)
Hence, time uphill : time downhill = 14:6 = 7:3.
Total time up hill = 7/10 hr
Time downhill = 3/10 hrs
Distance up hill = (7 * 6 /10) = 4.2 kms (One way distance)
Total Distance(up hill + down hill = 4.2 + 4.2= 8.4 kms. (Two way distance.)
Thank you Examveda and Sudhakar.
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