Find the Total Journey in km :

A car complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

  1. 220 km
  2. 224 km
  3. 230 km
  4. 234 km
Anurag Mishra Professor Asked on 30th November 2015 in Maths.
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1 Answer(s)

Answer: (2) 224 km

Explanation:-
Let the total distance of journey be X km.

Total time taken by a car to cover a journey = 10 hours
The speed of car for half journey = 21 km/hr 
The speed of car for second half journey = 24 km/hr

Then, X/2 x 21 + X/2 x 24 = 10
X (24 + 21)/2 x 21 x 24 = 10
45 X/42 x 24 = 10
45 X = 10 x 42 x 24
45 X = 10080
X = 10080/45
X = 224 km

Then, the distance of total journey is 224 km. 

Hence, the answer is (2) 224 km. 

Anurag Mishra Professor Answered on 30th November 2015.
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