Find out the speed:

Shyam is travelling on his cycle and has calculated to reach point ‘A’ at 2 PM If he travels at 10 kmph. he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach “A” at 1 PM:

  1. 12 kmph
  2. 14 kmph
  3. 8 kmph
  4. 11 kmph
Anurag Mishra Professor Asked on 25th January 2016 in Maths.
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1 Answer(s)

Answer: (1) 12 kmph

Explanation:-
Let the distance travelled by Shyam be X km.

According to question,
X/10 – X/15 = 2
(3 X – 2 X)/30 = 2
X = 2 x 30
X = 60 km

Time taken by Shyam to travel 60 km at 10 kmph = 60/10
= 6 hours

Then, Shyam started 6 hours before 2 P.M.
Therefore, required speed = 60/5
= 12 kmph.

Hence, the correct answer is option (1) 12 kmph.

Anurag Mishra Professor Answered on 25th January 2016.
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