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

The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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What is the sum of all odd numbers from 1 to 99?

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What is the probability of drawing an ace from a standard deck of 52 cards?

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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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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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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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If the sum of three consecutive integers is 96, what are the integers?

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

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If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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