Find Out the Distance.

A motor car completes a journey in 12 hours, the first half at the speed of 22 km/hr. and the second half at the speed of 26 km/hr. Find the distance?

  1. 188 km
  2. 286 km
  3. 350 km
  4. None of these
Abdul Salam Newbie Asked on 7th August 2015 in Maths.
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1 Answer(s)

Answer: (2) 286 km

Explanation:-
Let the total distance of journey is X km.
Time taken by car to covered the journey = 12 hr.

The first half distance covered at the speed of 22 km/hr.
Then, time taken by a car = X/ 2 x 22
= X/ 44 hr.

And second half distance covered at the speed of 26 km/hr.
Then, X / 2 x 26
= X / 52 hr.

Then, total time taken by the car = X/ 44 + X/ 52 = 12
(13 X + 11 X) / 572 = 12
24 X = 12 x 572
X = 572 x 12 / 24
X = 572 / 2
X = 286 km
Then, the total distance is 286 km.

Hence, the answer is (2) 286 km.

Anurag Mishra Professor Answered on 7th August 2015.
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