A hiker walks 15 miles on level ground and 8 miles uphill. The uphill pace is 3 mph slower than the...

Question

10. A hiker walks 15 miles on level ground and 8 miles uphill. The uphill pace is 3 mph slower than the level-ground pace. If both parts of the trip take the same amount of time, find the hiker's level-ground speed.
a. 8.34 km/hr
b. 12.34 km/hr
c. 10.43 km/hr
d. 6.43 km/hr

SnapAndSolve AI · Accepted Answer

Let the level-ground speed be x mph. Then the uphill speed is x - 3 mph.

The time taken for level ground is 15/x hours, and the time taken for uphill is 8/(x - 3) hours.

Since both times are equal:

15/x = 8/(x - 3)

Cross-multiply to solve for x:

15(x - 3) = 8x

15x - 45 = 8x

7x = 45

x = 45/7 = 6.43 mph

Convert mph to km/hr (1 mph = 1.60934 km/hr):

6.43 mph * 1.60934 = 10.34 km/hr

Therefore, the closest answer is c. 10.43 km/hr.

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A hiker walks 15 miles on level ground and 8 miles uphill. The uphill pace is 3 mph slower than the...

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