Question

A train moves with a speed of 90 km/hr for 3 hours and then with a speed
of 80 km/hr for next 2 hours.Find the total distance covered by the train in this time.

Answer 1

Answer:

The speed of the train = 90 km/hr

In this speed, the train travels for 3 hrs.

Then, the speed changes to 80 km/hr.

In this speed, the train travels for 2 hrs.

Now, we know that : Speed = Distance/Time.

Hence, Distance = Speed × Time.

Case 1 :

Speed = 90 km/hr

Time = 3 hrs.

Hence, Distance = 90 km/hr × 3 hr

⇒ Distance = 90 × 3 km

⇒ Distance = 270 km

Case 2 :

Speed = 80 km/hr

Time = 2 hrs.

Hence, Distance = 80 km/hr × 2 hr

⇒ Distance = 80 × 2 km

⇒ Distance = 160 km

Hence, total Distance travelled = 270 + 160 = 430 km.

Answer 2

$\huge \underline \mathsf \red {Solution:-} </p><p>$

$\bf{\underline{\underline \blue{AnswEr:}}} </p><p>$

The speed of the train = 96 km/hours

The distance travelled by train in 6hours = 576 km

$\bf{\underline{\underline \blue{Given\: Information:}}} </p><p></p><p>$

A train at a uniform speed covers a dustance of 240 km in 5/2 hours.

$\bf{\underline{\underline \blue{Need\: To\:Find:}}} </p><p>$

The speed of the train = ?

The distance travelled by the train in 6 hours = ?

$\huge \underline \mathsf \red {Explanation:-} </p><p>$

$\dag$

In First Situation:

$\bf{\underline{\underline \green{Given:}}} </p><p>$

Distance covered by train = 240km

Time taken

$= \mathsf {\frac{5}{2} \: hours} </p><p>$

$\bf{\underline{\underline \green{Need\: To\:Find:}}} </p><p>$

The speed of the train = ?

$\bf{\underline{\underline \green{Formula\: Used\:Here:}}} </p><p></p><p>$

$✒ \: \boxed{ \sf \: Speed = \frac{Distance}{Time } }</p><p>$

$\bf{\underline{\underline \green{Now,Putting\:The\: Values:}}} </p><p></p><p>$

$\longrightarrow \sf {Speed \:of \:the \:train = 240 \div \frac{5}{2}\:Km}$

$\longrightarrow \sf {Speed\: of \:the \:train = 240 \times \frac{2} {5} \:Km}$

$\longrightarrow \sf {Speed \:of\: the \:train = 96km/hours}$

$\bf{\underline{\underline \green{Therefore:}}} </p><p>$

The speed of the train = 96 km/hours

$\dag†$

In Second Situation:

$</p><p></p><p>\bf{\underline{\underline \green{Given:}}} </p><p></p><p>$

Time = 6 hours

Uniform Speed = 96km/hours

$\bf{\underline{\underline \green{Need\: To\:Find:}}} </p><p>$

The distance travelled by the train in 6 hours = ?

$\bf{\underline{\underline \green{Formula\: Used\:Here:}}} </p><p></p><p> </p><p>$

$✒\: \boxed{ \sf \: Distance = Speed \times Time }</p><p> </p><p>$

$\bf{\underline{\underline \green{Now,Putting\:The\: Values:}}}$

$\longrightarrow \sf {Distance = 96 \times 6}$

$\longrightarrow \sf {Distance = 576 \:km}</p><p>$

$\bf{\underline{\underline \green{Therefore:}}} </p><p>$

The distance travelled by train in 6 hours = 576km