Mathematics: How long is a train which passes a signal in twenty seconds at a speed of 108 km/h

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How long is a train which passes a signal in twenty

jazminecousart3

31.12.2021

The length of the train is $600\ m$

Step-by-step explanation:

we know that

The speed is equal to the ratio of the distance by the time

Let

d -------> the distance in meters

t ------> the time in seconds

s -----> the speed in m/sec

$s=\frac{d}{t}$

Remember that

1 km=1,000 m

1 h=3,600 sec

we have

$s=108\frac{km}{h}$

Convert to m/sec

$s=108\frac{(1,000)}{3,600}=30\frac{m}{sec}$

Find the length of the train

we have

$s=30\frac{m}{sec}$

$t=20\ sec$

substitute in the formula and solve for d

$30=\frac{d}{20}$

$d=30(20)=600\ m$

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