Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.? Choose the correct answer:
A) 17 kmph
B) 13 kmph
C) 12 kmph
D) 18 kmph
E) 97 kmph
Let the distance traveled be x km.   Then, x/10 - x/15 = 2   3x - 2x = 60 =&gt; x = 60 km.   Time taken to travel 60 km at 10 km/hr = 60/10= 
<gadget id="calculator">60/10</gadget>
<output>6</output>
6 hrs.   So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.   Required speed= 60/5= 
<gadget id="calculator">60/5</gadget>
<output>12</output>
12 kmph.   Answer: 12 kmph
<result>C</result>
Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?