Multiple choice

Find the correct relationship between given quantities. Speed of stream is 87.5% less than the speed of boat and boat covers downstream 40.5 km in 9 hours. Quantity I-Find the distance travelled by boat in 17.5 hours upstream. Quantity II- Find the distance travelled by boat in 13.5 hours downstream.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established

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

Stream speed is 87.5% less than boat speed, so stream speed = 12.5% of boat speed = 0.125 × boat speed. Downstream: boat + stream = 1.125 × boat speed = 40.5/9 = 4.5 km/h. So boat speed = 4 km/h, stream speed = 0.5 km/h. Upstream speed = boat - stream = 3.5 km/h. Quantity I: distance in 17.5 hr upstream = 3.5 × 17.5 = 61.25 km. Quantity II: distance in 13.5 hr downstream = 4.5 × 13.5 = 60.75 km. Since 61.25 > 60.75, Quantity I > Quantity II.