Shreya hikes up a hill at 5 mph and comes down at 7 mph. If the total time taken for the two-way journey is 3 hours, what is the distance between the hilltop and the foothill ?

8.75 miles 8 miles 9 miles 6.75 miles

8.75 miles

When distance of going and coming back is same. Distance = \(\frac{S1 × S2 }{S1 + S2 }\) × Total Time = \(\frac{5 × 7 }{5+7 }\) × 3 = \(\frac{35 }{4 }\)  = 8.75 miles