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

What is the value of log₃(27)?

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What is the sum of the first 50 positive integers?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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The LCM of 12 and 15 is:

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What is the square root of 144?

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

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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How many diagonals does a pentagon have?

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