Question

Find a time taken by a 180m long train running at 54km/hr to cross a man standing on a platform

Answer 1

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Find the time taken by a 180 m long train running at 54 km/hr to cross a man standing on a platform.

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Let the time taken to cross the man standing on the platform be = x

We know that :

$\tt{Speed = \frac{Distance}{Time}}$

Put the values in the formula, but before, convert 54 km/hr into m/s so that all the quantities are in the same units

54 km/hr = $\tt{\frac{54\times5}{18}}$

54 km/hr = 15 m/s

Put this value into the formula :

$\tt{15 = \frac{180}{x}}$

=》 $\tt{x = \frac{180}{15}}$

=》 $\tt{x = 12 s}$

Thus, the time taken is 12 seconds

Answer 2

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12 Seconds

step-by-step explanation:

Given,

length of train = 180 m

speed of train = 54 km/hr

now,

the train has to cross a man standing on the platform,

for this the train will have to cover the same distance as its length,

.°. distance = 180 m

now,

°.° the distance is in 'm'

we have to convert the speed in same unit,

so,

speed = (54 × 5/18 )m/s = 15 m/s

Now,

we know that,

distance = speed × time

=> time = distance / speed

=> time = ( 180/ 15) s

=> time = 12 s

hence,

the Train will take 12 seconds to coss the Man.