Malik walked up and back down an empty 18m long escalator at a constant rate. Since the escalator was going up at the time, it took him only 22.5s. Going down took Malik 90s. Assume the escalator speed is constant. What was Malik's walking speed?

Calculate Escalator Speed: Calculate the speed of the escalator. Speed = Distance / Time Escalator speed = 18m / 22.5s Escalator speed = 0.8 m/sCalculate Malik's Speed: Calculate Malik's speed going up. Total speed going up = Escalator speed + Malik's walking speed Let Malik's walking speed be x m/s. 0.8 m/s + x m/s = 18m / 22.5s x = (18m / 22.5s) - 0.8 m/s x = 0.8 m/s - 0.8 m/s x = 0 m/s

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Malik walked up and back down an empty $\newline$ $18\,\text{m}$ long escalator at a constant rate. Since the escalator was going up at the time, it took him only $\newline$ $22.5\,\text{s}$ . Going down took Malik $\newline$ $90\,\text{s}$ . Assume the escalator speed is constant. $\newline$ What was Malik's walking speed?

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Q. Malik walked up and back down an empty

\newline

18\,\text{m}

long escalator at a constant rate. Since the escalator was going up at the time, it took him only

\newline

22.5\,\text{s}

. Going down took Malik

\newline

90\,\text{s}

. Assume the escalator speed is constant.

\newline

What was Malik's walking speed?

Calculate Escalator Speed: Calculate the speed of the escalator. $\newline$ Speed = $\frac{\text{Distance}}{\text{Time}}$ $\newline$ Escalator speed = $\frac{18\,\text{m}}{22.5\,\text{s}}$ $\newline$ Escalator speed = $0.8\,\text{m/s}$
Calculate Malik's Speed: Calculate Malik's speed going up. $\newline$ Total speed going up = Escalator speed + Malik's walking speed $\newline$ Let Malik's walking speed be $x$ m/s. $\newline$ $0.8$ m/s $+$ $x$ m/s $=$ $18m / 22.5s$ $\newline$ $x = (18m / 22.5s) - 0.8$ m/s $\newline$ $x = 0.8$ m/s $-$ $0.8$ m/s $\newline$ $0.8$ $0$ m/s