# John is travelling on his cycle and has calculated to reach point A at 2 pm :

John 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?

- 8 kmph
- 11 kmph
- 12 kmph
- 14 kmph

**Answer: (3) 12 kmph **

**Explanation:-**

Let the distance traveled by John X km.

According to the question,

Then, X/10 – X/15 = 2

(3 X – 2 X)/30 = 2

X= 2 x 30

X = 60 km

Time taken to travel 60 km at 10 km/hr = 60/10

= 6 hours

Then, John started 6 hours before 2 P. M. at 8 A. M.

Therefore, required speed = 60/5

= 12 kmph.

Hence, the correct answer is option (3) 12 kmph.