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Problem Solving: Time/Rate Flashcards

7 cards from real CFAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Problem Solving: Time/Rate flashcards as text
  1. At 72 km/h, how many seconds does it take a vehicle to travel 200 metres?

    Answer: 10 seconds

    72 km/h = 20 m/s; time = 200 ÷ 20 = 10 seconds.

  2. Worker A completes a task in 6 hours; Worker B takes 9 hours. After working together for 2 hours, A leaves. How long does B take to finish alone?

    Answer: 4 hours

    Together rate = 1/6 + 1/9 = 5/18 per h; in 2 h: 10/18 = 5/9 done; remaining = 4/9; B time = (4/9) ÷ (1/9) = 4 hours.

  3. A patrol boat travels upstream at 18 km/h and downstream at 30 km/h. What is the speed of the current?

    Answer: 6 km/h

    Current speed = (downstream − upstream) ÷ 2 = (30 − 18) ÷ 2 = 6 km/h.

  4. A soldier can run a route in 40 minutes. If he increases his speed by 25%, how long will the same route take?

    Answer: 32 min

    New speed = 1.25 × old speed; since time is inversely proportional, new time = 40 ÷ 1.25 = 32 minutes.

  5. Two aircraft leave the same base simultaneously flying in opposite directions at 500 km/h and 700 km/h. How far apart are they after 90 minutes?

    Answer: 1,800 km

    Combined speed = 1,200 km/h; 90 min = 1.5 h; distance = 1,200 × 1.5 = 1,800 km.

  6. A tank can be filled by Pipe X in 4 hours and drained by Pipe Y in 6 hours. If both are open simultaneously, how long to fill the empty tank?

    Answer: 12 hours

    Net rate = 1/4 − 1/6 = 1/12 tank per hour; time = 12 hours.

  7. A vehicle uses 8 litres per 100 km. Traveling at 80 km/h, how long can it run on a full 48-litre tank?

    Answer: 7.5 hours

    Range = (48 ÷ 8) × 100 = 600 km; time = 600 ÷ 80 = 7.5 hours.