Multiple choice

Find the value of quantities and state the correct relationship. Quantity I: A man on tour travels first 160 km at 64 km/hr. and the next 160 km at 80 km/hr. Find the average speed of the tour. Quantity II: A went from P to Q with the speed of 60km/hr. and return back with the speed of 90km/hr. Find the average speed.

  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 no relation can be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: Total distance = 320 km, total time = 160/64 + 160/80 = 2.5 + 2 = 4.5 hours. Average speed = 320/4.5 = 71.11 km/hr. Quantity II: Average speed for round trip = 2×60×90/(60+90) = 72 km/hr. Therefore Quantity I (71.11) < Quantity II (72).

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