Question

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Answer 1

Answer:

107.99 sec

Explanation:

total distance in meters =100m+1400m=1500m

velocity = 50kmph=13.89m/s

time = distance/velocity

        =1500/13.89

        =107.99 seconds

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Answer 2

$\boxed{\bf{ \red{\bigstar Question \longrightarrow }}}$

A train 100m long is moving with a constant velocity of 50km/hr.find the time it takes to cross the bridge 1.4 km long?

$\boxed{\bf{ \blue{\bigstar Find \longrightarrow }}}$

Time taken ?

$\boxed{\bf{ \orange{\bigstar Given \longrightarrow }}}$

• Velocity = 50km/h
• Train length = 100m
• Bridge length = 1.4km

$\boxed{\bf{ \green{\bigstar Formula \ used \longrightarrow }}}$

$\sf{T= \dfrac{d}{s} }$

where ,

• T= time

• d= distance

• s= speed

$\boxed{\bf{ \purple{\bigstar SoLution \longrightarrow }}}$

we know,

1 km = 1000 m

1.4km = 1400m

ATQ, Cross bridge with 100m train so,

Total distance = Train length + bridge length

Total distance = 100 m + 1400  = 1500 m

Now change speed into m/s

1km= 1000m

1hr= 3600sec

$\sf{1km/h = \dfrac{1000}{3600} m/s = \dfrac{10}{36}m/s = 1 \times \dfrac{5}{18} m/s}$

so,

Speed  =$\sf{50 km /hr = 50 \times \dfrac{5}{18} \ m/s = 13.88 m/s }$

Put Value of distance and speed in the formula we get,

$\sf{Time =\dfrac{1500}{13.88} = 108.06 \ (app.) }$

$\bf{\underline{\pink{ \bigstar \therefore Time\ taken\ is\ 108.06 sec \bigstar }}}$

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