Arun 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?  Pick one:
A) 8 kmph B) 12 kmph C) 10 kmph D) 14 kmph E) 15 kmph
Let distance be x km   travelling at 10 kmph reach at 2 pm   travelling at 15 kmph reach at 12 noon   =&gt;time taken when travelling at 10 km - time taken when travelling at 15 km = 2 hrs   x/10 - x/15 = 2   3x-2x*30   x=60   time needed if travelled at 10kmph = 60/10= 
<gadget id="calculator">60/10</gadget>
<output>6</output>
6 hrs=&gt;reach at 1 pm =&gt; (6-1)= 
<gadget id="calculator">(6-1)</gadget>
<output>5</output>
5 hrs   req speed= 60/5= 
<gadget id="calculator">60/5</gadget>
<output>12</output>
12 kmph   ANSWER 12 kmph
<result>B</result>
Arun 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?