Question

Ronak drives his car to reach railway station. He drives at 35 km per hour in 1st hour but then he realises that he will be 1 hr late if he continues with this speed. He increases his speed by 15kmph for rest of journey and reaches 30 min early. How much is distance between his home and railway station?

Answer 1

Step-by-step explanation:

see the solution in photo

Answer 2

The distance between his home and railway station 110 km.

Step-by-step explanation:

Given:

Ronak drives at 35 km per hour in 1st hour. He realises that he will be 1 hr late if he continues with this speed'

Ronak  realises that he will be 1 hr late if he continues with this speed'  he  and increases his speed by 15kmph for rest of journey and reaches 30 min early.

To Find:

The distance between his home and railway station.

Solution:

Let the distance between his home and railway station p km.

Let the distance covered by Ronak  in 1st hour  is q.

As given,Ronak drives at 35 km per hour in 1st hour.

Ronak speed in 1st hour =35km per hour.

The distance covered by Ronak  in 1st hour$= speed \times time$

                                                                        $=35\times1= 35km$

As given,Ronak  realises that he will be 1 hr late if he continues with this speed'  he  and increases his speed by 15kmph for rest of journey and reaches 30 min early.

Ronak speed in rest of journey $=35+15 =50\ km\ per\ hour.$

Rest  of journey distance = p-35 km.

Time taken to cover rest of distance  $= 1hr+30min= 1.5\ hours$

$\frac{p-35}{50} -= \frac{3}{2}$

$p-35=75$

$p=110 \ km.$

Thus,the distance between his home and railway station 110 km.

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