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Time, Speed, Distance and Interest MCQs

Solved Mathematics MCQs on speed, distance and time, trains and boats, simple and compound interest, clocks and unit conversions, with step-by-step solutions.

25 MCQsUpdated 27 October 2026

This set covers speed, time and distance (including trains and boats), unit conversions such as km/h to m/s, simple and compound interest, clock angles and everyday measurement conversions.

To convert km/h to m/s, multiply by 5/18, and to go back, multiply by 18/5. For interest questions, decide first whether the question is about simple or compound interest.

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  1. 1

    A car travels at 60 km/h for 3.5 hours. How far does it travel?

    Correct answer: B. 210 km

    Distance = speed × time = 60 × 3.5 = 210 km.

    easy
  2. 2

    A train covers 270 km in 4 hours 30 minutes. What is its average speed?

    Correct answer: D. 60 km/h

    4 h 30 min = 4.5 h. Speed = 270 ÷ 4.5 = 60 km/h.

    easy
  3. 3

    How long does it take to cover 45 km at 30 km/h?

    Correct answer: D. 90 minutes

    Time = 45 ÷ 30 = 1.5 hours = 90 minutes.

    easy
  4. 4

    A speed of 15 m/s is equal to:

    Correct answer: A. 54 km/h

    Multiply by 18/5: 15 × 18 ÷ 5 = 54 km/h.

    medium
  5. 5

    A 150 m long train runs at 54 km/h. How long will it take to pass a pole?

    Correct answer: B. 10 seconds

    54 km/h = 15 m/s. Time = length ÷ speed = 150 ÷ 15 = 10 seconds.

    medium
  6. 6

    A 200 m long train running at 72 km/h crosses a 300 m long bridge. How long does it take?

    Correct answer: A. 25 seconds

    Total distance = 200 + 300 = 500 m. Speed = 72 km/h = 20 m/s. Time = 500 ÷ 20 = 25 seconds.

    hard
  7. 7

    Two cars start 300 km apart and drive towards each other at 40 km/h and 60 km/h. After how long will they meet?

    Correct answer: B. 3 hours

    Moving towards each other, their speeds add: 40 + 60 = 100 km/h. Time = 300 ÷ 100 = 3 hours.

    medium
  8. 8

    A bus at 40 km/h is 20 km ahead of a car moving at 50 km/h in the same direction. How long will the car take to catch the bus?

    Correct answer: C. 2 hours

    In the same direction the relative speed is 50 − 40 = 10 km/h. Time = 20 ÷ 10 = 2 hours.

    medium
  9. 9

    A boat goes downstream at 18 km/h and upstream at 12 km/h. What is the speed of the boat in still water?

    Correct answer: A. 15 km/h

    Speed in still water = (downstream + upstream) ÷ 2 = (18 + 12) ÷ 2 = 15 km/h. The stream's speed is (18 − 12) ÷ 2 = 3 km/h.

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    hard
  10. 10

    Walking at 5 km/h, Hamza reaches school in 24 minutes. How far is the school?

    Correct answer: B. 2 km

    Distance = 5 × (24 ÷ 60) = 5 × 0.4 = 2 km.

    easy
  11. 11

    What is the simple interest on Rs. 8,000 at 5% per year for 2 years?

    Correct answer: C. Rs. 800

    SI = P × R × T ÷ 100 = 8,000 × 5 × 2 ÷ 100 = Rs. 800.

    easy
  12. 12

    Rs. 12,000 is deposited at 10% simple interest per year. What will the amount be after 3 years?

    Correct answer: B. Rs. 15,600

    SI = 12,000 × 10 × 3 ÷ 100 = 3,600. Amount = 12,000 + 3,600 = Rs. 15,600.

    easy
  13. 13

    In how many years will Rs. 5,000 earn Rs. 1,500 as simple interest at 6% per year?

    Correct answer: A. 5 years

    T = SI × 100 ÷ (P × R) = 1,500 × 100 ÷ (5,000 × 6) = 5 years.

    medium
  14. 14

    What principal will earn Rs. 2,400 simple interest in 3 years at 8% per year?

    Correct answer: A. Rs. 10,000

    P = SI × 100 ÷ (R × T) = 2,400 × 100 ÷ (8 × 3) = Rs. 10,000.

    medium
  15. 15

    At what rate of simple interest will a sum of money double itself in 10 years?

    Correct answer: B. 10%

    To double, SI must equal P. So P = P × R × 10 ÷ 100, which gives R = 10%.

    medium
  16. 16

    Rs. 10,000 is invested at 10% per year compound interest. What is the amount after 2 years?

    Correct answer: A. Rs. 12,100

    Year 1: 10,000 × 1.1 = 11,000. Year 2: 11,000 × 1.1 = Rs. 12,100.

    medium
  17. 17

    What is the compound interest on Rs. 5,000 at 20% per year for 2 years?

    Correct answer: A. Rs. 2,200

    Amount = 5,000 × 1.2 × 1.2 = 7,200. Compound interest = 7,200 − 5,000 = Rs. 2,200.

    hard
  18. 18

    What is the difference between compound interest and simple interest on Rs. 4,000 for 2 years at 5% per year?

    Correct answer: C. Rs. 10

    SI = 400. CI = 4,000 × 1.05² − 4,000 = 410. Difference = 410 − 400 = Rs. 10.

    hard
  19. 19

    What is the angle between the hour and minute hands of a clock at 3:00?

    Correct answer: D. 90°

    Each hour mark is 30°. At 3:00 the hands are 3 marks apart: 3 × 30 = 90°.

    easy
  20. 20

    What is the angle between the hands of a clock at 2:30?

    Correct answer: B. 105°

    Angle = |30 × H − 5.5 × M| = |60 − 165| = 105°.

    hard