A train running at the speed of 60km h

Asked by admin @ 16/08/2021 in Math viewed by 374 People

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A.120 metresB.180 metresC.324 metresD.150 metres

Answered by admin @ 16/08/2021

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Length\:of\:train\approx150\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given: }} \\ \tt: \implies Speed \: of \: train = 60 \: kmh \\ \\ \tt: \implies Time \: taken \: to \: cross \: pole = 9 \: second \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: \implies Length \: of \: train = ?$

• According to given question :

$\tt \circ \: Speed = 60 \times \frac{5}{18} = 16.67 \: ms \\ \\ \tt\circ \: Time = 9 \: seconds \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Distance =Speed \times Time \\ \\ \tt: \implies Distance = 16.67 \times 9 \\ \\ \green{\tt: \implies Distance \approx150\: m} \\ \\ \green{\tt\therefore Length \: of \: train \: is \: 150 \: m} \\ \\ \blue{\bold{Some \: related \: formula}} \\ \orange{\tt\circ \: v = u + at} \\ \\ \orange{\tt\circ \: s = ut+ \frac{1}{2} a {t}^{2} } \\ \\ \orange{\tt\circ \: {v}^{2} = {u}^{2} + 2as}$

A train running at the speed of 60km h

• According to given question :

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