Question

Agniwesh takes 8 hours to travels 600 km , partly by train and partly by car, if he had travelled all the way by train, he would have saved 2/3rd of the total time that he travelled in by car and would he have reached 3 hour earlier. what is the distance covered by train ?

Answer 1

Hey.

Here is the answer.

Total time taken by train and car = 8 hr

total distance = 600 km

so, average speed = 600/8 = 75 km/h

let time taken by car be x .

so, time taken by train = 8 - x

As, 2/3 rd of time taken by car = 2x/3 = saved time

so, new time taken = (8-x) + x/3

= (24-3x+x)/3

= (24-2x)/3

According to question, he would have reached 3hr earlier

so, (24-2x)/3 = 8-3=5

or, 24 -2x =5×3=15

or, 24-15 = 2x

or, 9 =2x

so, x = 4.5 hr

Hence time taken by train = 8-x = 8-4.5=3.5 h

According to question, he would have reached 3hr earlier,

so, time taken by train= 5hr

So, speed of train = 600/5 = 120 km/h

So, distance covered by train = 3.5 × 120 km

= 420 km

Thanks.