Multiple choice

A man can walk uphill at the rate of 2.5 km/hr. and downhill at the rate of 3.25 km/hr. If the total time required to walk a certain distance up the hill and return to the starting position in 4h. 36 min. What is the distance he walked up the hill?

  1. 3.5 km.

  2. 4.5 km.

  3. 5.5 km.

  4. 6.5 km.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance up the hill be d km. Time up = d/2.5 hours, time down = d/3.25 hours. Total time = d/2.5 + d/3.25 = 4 hours 36 minutes = 4.6 hours. Multiplying by 325: 130d + 100d = 1494.5, so 230d = 1494.5, giving d = 6.5 km. Verification: 6.5/2.5 = 2.6 hr up, 6.5/3.25 = 2 hr down, total = 4.6 hr = 4hr 36min.