Question

A train is moving at a uniform speed of 80 kilometre per hour.

a) how far will it travel in 15 minutes
b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.​

Answer 1

Question -:

A train is moving at a uniform speed of 80 kilometre per hour.

a) how far will it travel in 15 minutes

b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.

Explanation -:

a)

Given that the train is moving at a uniform speed of 80 km/h.

Time taken = 15 minutes

First we will convert the time

`\small \sf Time \: taken = 15 min = \frac{ \cancel{15}}{ \cancel{60}}hr = (1)/(4)hr`

Now we will calculate the distance

We know,

`✪ \: \small\boxed{ \frak{ {Distance }= {Speed} × Time }}`

Substituting the values in the given formula

`\small\sf{ Distance = \cancel{ 80} \: \: 20 \: km/ \cancel{ hr} × \frac{1}{ \cancel{4}} \cancel{hr} =20km }`

Distance covered in 15 minutes = 20 km

`\rule {40mm}{2pt}`

b)

Given that the train is moving at a uniform speed of 80 km/h.

Distance covered = 250 km

Calculating the time

We know,

`✪ \: \small\boxed{ \frak{ Time = (Distance)/(Speed)}}`

Substituting the values in the given formula

`\small\sf{ Time = (250 km)/(80 km/hr) =3 \: hrs \: 20 \: mins }`

`\star \: \small\sf{ Final \: Answer }`

• Distance = 20 km
• Time = 3 hrs 20 minutes

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