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

If a:b = 5:7 and b:c = 6:11, what is a:c?

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A cube has a side length of 4 cm. What is its volume?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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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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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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What is the value of x if log(x) + log(4) = log(32)?

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If a number is divisible by 9, it is also divisible by which of the following?

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If x^2 - 6x + 9 = 0, what is the value of x?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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