Question

A train is moving at a uniform speed of 100 km/h. How far will it travel in 20
minutes?​

Answer 1

Answer:

Hey mate here is ur answer

Step-by-step explanation:

Convert 20 mins in hour

60 mins = 1 hour

20 mins = 1/3 hour

Distance travelled = Speed x Time = 100 x 1/3 km = 33.333 km

Answer 2

• Speed of the train, v = 100 km/hr

$1 \: \dfrac{km}{hr} = \dfrac{5}{18} \: \dfrac{m}{s} \\ \\ 100\: \dfrac{km}{hr} = 100 \times \dfrac{5}{18} \: \dfrac{m}{s} \\ \\ v = 50 \times \dfrac{5}{9} \: \dfrac{m}{s} \\ \\ v = \dfrac{250}{9} \: \dfrac{m}{s}$

• Time, t = 20 minutes

$1 \: minute \: = 60 \: seconds \\ \\ 20\: minute \: =20 \times 60 \: seconds \\ \\ t = 1200 \: s$

• Let d be the distance travelled by the train.

We know that,

Speed = Total distance /Time

v = d/t

$\dfrac{250}{9} = \dfrac{d}{1200} \\ \\ \dfrac{250}{9} \times 1200 = d \\ \\ d = \frac{1200 \times 250}{9} \\ \\ = \frac{400 \times 250}{3} \\ \\ = \frac{100000}{3} \\ \\ d = 33333.33 \: m \\ \\ = 33333.33 \times \frac{1000}{1000} \: m \\ \\ = \frac{33333.33}{1000} \times {10}^{3} \: m \\ \\ d = 33.33 \: km$

Distance travelled by the train in 20 minutes is 33333.33 m or 33.33 km