Arun is traveling 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? Choose the correct choice from the following
A) 22  B) 38  C) 12  D) 99  E) 28
Let the distance be x km   if travels at 10 kmph, Arun will reach point A at 2 pm   if travels at 15 kmph, Arun will reach point 12 noon   =&gt; Time taken when traveling at 10 km = Time taken when traveling at 15 km + 2 hours   ⇒x10=x15+2⇒x10−x15=2⇒3x−2x=2×30⇒x=60⇒Distance = 60 km   Examine the any statement say, if travels at 10 kmph, Arun will reach point A at 2 pm   ⇒Time taken = DistanceSpeed=6010=6 hours⇒He must have started 6 hours back 2 pm, ie, at 8 am⇒Now he wants to reach at 1 pm. ie; time to be taken = 5 hours⇒Speed needed = DistanceTime=605=12 kmph   Answer : 12
<result>C</result>
Arun is traveling 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?