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 x^2 + 4x + 4 = 0, what is the value of x?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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If a square has a perimeter of 64 cm, what is its area?

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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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If x:y = 4:5 and y:z = 2:3, what is x:z?

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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 number is increased by 20% and then decreased by 10%. What is the net change?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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What is the HCF of 48 and 180?

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