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 the hill top and the foothills?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 18.75 miles.
Let the D be the distance between the hilltop and the foothills.
Time taken to climb up = Tu = D/3
Time taken to climb down = Td = D/5
According to the question;
Total time taken = Tu + Td
⇒ D/3 + D/5 = 10
⇒ (5D + 3D)/15 = 10
⇒ 8D/15 = 10
⇒ D = 150/8
⇒ D = 18.75 miles