Mathematics 4024 · O Level · Limits of accuracy

Limits of accuracy — practice question

In the Trio Challenge, Sophia first walks, then cycles, and finally swims.
(a)[2]

Write the ratio walk : cycle : swim in its simplest form.

(b)[3]

Sophia walks with an average speed of $1.4\,\text{m s}^{-1}$. She finishes the walk at $11\,05$. Find the time she starts walking.

(c)[3]

Sophia cycles $3000\text{ m}$, correct to the nearest $10$ metres, in $450$ seconds, correct to the nearest $10$ seconds. Calculate the upper bound for her mean cycling speed in metres per second.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: The simplified ratio is $21:10:6$.

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