Question 3 of 11intermediate🔧 ApplyNumerical3 marks

A train travels at a speed of 25 m/s and covers a distance of 360 km. How much time does it take?

Correct Answer

The chapter provides the formula: Total time taken = Total distance covered / Speed. The distance must be converted to the same unit as speed before calculation.

Since speed is in m/s, distance in km needs to be converted to metres, or alternatively, speed can be converted to km/h.

Step 1: Convert distance to metres: 360 km = 360×1000360 \times 1000 m = 3,60,000 m.

Step 2: Apply formula: Time = Distance / Speed = 3,60,000 m / 25 m/s = 14,400 s.

Step 3: Convert seconds to hours: 14,400 s ÷ 3600 s/h = 4 h.

The train takes 4 hours to cover the distance.

Exercise: Let Us Enhance Our Learning | Q: 3 | (Page Page 14)
For More Understanding

Explanation

The chapter provides the formula: Total time taken = Total distance covered / Speed. The distance must be converted to the same unit as speed before calculation. Since speed is in m/s, distance in km needs to be converted to metres, or alternatively, speed can be converted to km/h.

Solution Steps

  1. Step 1: Convert distance to metres: 360 km = 360×1000360 \times 1000 m = 3,60,000 m

  2. Step 2: Apply formula: Time = Distance / Speed = 3,60,000 m / 25 m/s = 14,400 s

  3. Step 3: Convert seconds to hours: 14,400 s ÷ 3600 s/h = 4 h

  4. Step 4: Final answer: Time = 4 hours

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