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 triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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

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

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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What is the cube root of 729?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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How many ways can 4 people sit in a row?

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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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