Kabir climbs up a hill at a speed of 3 miles per hour and comes down at 5 miles per hour. If the total time taken for the total journey is 10 hours, then what was the distance between hill top and foothills?
Answer & explanation
Correct answer: option 2
distance = speed x time
When the distance is same,
Ratio of speed ∝ $\frac{1}{ratio\; of \;time}$
Uphill : Downhill
Speed 3 : 5
Time 5 : 3
Total time = 10 hrs = 8R
⇒ R = $\frac{10}{8}$
Distance on one side = speed x time
= 3 x 5R (during uphill)
= 3 x 5 $\frac{10}{8}$
= 18.75 miles