Question

a train is traveling at a uniform speed of 70km/hr
a)how much time it takes to cover a distance of 4200m
b)how long will it travel in 45min
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Answer 1

$Speed \:of \: a \: train (s) = 70\:km/hr\\= 70 \times \frac{1000}{60} \: m/mi = \frac{3500}{3} \:m/mi$

$a ) Distance \: travelled (d) = 4200 \:m$

$\boxed { \pink { Time (t) = \frac{d}{s} }}$

$\implies t = \frac{4200}{\frac{3500}{3}}\\= 3.6 \: minutes$

$b) If \: t = 45 \: minutes$

$\implies d = s \times t \\= \frac{3500}{3} \times 45\\= 3500 \times 15 \\= 52500 \: m$

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Answer 2

$\mathtt{ \huge{ \fbox{Solution :)}}}$

Given ,

Speed = 70 km/hr or 19.5 m/s

We know that ,

$\large \mathtt{ \fbox{Speed = \frac{distance}{time} }}$

a)

Time = 4200/19.5

Time = 216 sec

Hence , train takes 217 sec to cover 4200 m

b)

Distance = 19.5 × 2700

Distance = 52650 m

Hence , it travel 52380 m in 45 min

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