Topic Details (Notes format)

How to Solve Speed, Distance, and Time Problems

Subject: Mathematics

Book: Maths Mastery

Speed, distance, and time are interlinked by the formula Distance = Speed × Time. Rearrange it to find any of the three: Speed = Distance ÷ Time or Time = Distance ÷ Speed. For example, if you drive 150 km at a constant speed of 50 km/h, Time = 150 ÷ 50 = 3 hours. More complex problems can involve average speed for multi-stage journeys or relative speeds when objects move in opposite directions. Mastering these computations is critical for planning travel, analyzing transport efficiency, or solving physics and real-world logistical tasks requiring pace or timeline estimates.

Practice Questions

A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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What is the LCM of 15 and 20?

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What is the square root of 144?

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What is the cube of 4?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If x - y = 5 and x + y = 15, what is the value of x?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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If 8x = 512, what is the value of x?

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