# Raja travelled 2/5 of his journey at 50 km/h. The next 1/5 of his journey he travelled at 40 km/h. The remaining 40 km he covered in half an hour. How much time did he take for the whole journey?

2
by raviTambe15

• Brainly User
2014-05-24T18:00:29+05:30
Raja travelled 2/5 of his journey at 50 km/h. The next 1/5 of his journey he travelled at 40 km/h. The remaining 40 km he covered in half an hour. How much time did he take for the whole journey?
Solution:
Let the Total distance Of Journey = X km
Speed for  traveling  ( 2/5 )*X = 50 km /hr
Speed for traveling (1/5)*X  = 40 km / hr

Remaining distance = 40 km
We know that  remaining Distance  = X - 2/5*X  - 1/5*X
= X (1-2/5 - 1/5)
= X ( 1 - 3/5 )
= 2/5*X
2/5 *X = 40
X = 5/2 *40
X= 100 km
Therefore Total Distance Of Journey = 100 KM

hence , The Persons Travels first 40 km of his journey with a speed of 50 Km/ hr , next 20 Km with the speed of 40 Km / hr and the last 40 Km in half an Hour .

Therefore the Total time taken by him to complete journey  = (40 / 50 + 20 /40 + 0.5 )hrs
NOte :-
Speed  = distance / time ;
=> time = distance / speed
That's why I  used 40 / 50 and 20 / 40 in calculating the time taken to travel the first 40 km and 20 km of the journey.
= (0.8 + 0.5 + 0 .5 )hrs
= 1.8 hrs

2014-05-25T08:50:19+05:30
Raja travelled 2/5 of his journey at 50 km/h. The next 1/5 of his journey he travelled at 40 km/h. The remaining 40 km he covered in half an hour. How much time did he take for the whole journey?
Solution:
Let the Total distance Of Journey = X km
Speed for  traveling  ( 2/5 )*X = 50 km /hr
Speed for traveling (1/5)*X  = 40 km / hr

Remaining distance = 40 km
We know that  remaining Distance  = X - 2/5*X  - 1/5*X
= X (1-2/5 - 1/5)
= X ( 1 - 3/5 )
= 2/5*X
2/5 *X = 40
X = 5/2 *40
X= 100 km
Therefore Total Distance Of Journey = 100 KM

hence , The Persons Travels first 40 km of his journey with a speed of 50 Km/ hr , next 20 Km with the speed of 40 Km / hr and the last 40 Km in half an Hour .

Therefore the Total time taken by him to complete journey  = (40 / 50 + 20 /40 + 0.5 )hrs
NOte :-
Speed  = distance / time ;
=> time = distance / speed
That's why I  used 40 / 50 and 20 / 40 in calculating the time taken to travel the first 40 km and 20 km of the journey.
= (0.8 + 0.5 + 0 .5 )hrs
= 1.8 hrs