Question
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. 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 P.M.?
Answer: Option C
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Let the distance travelled by x km.
Then,\(\frac{x}{10}-\frac{x}{15}=2\)
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr = \(\left(\frac{60}{10}\right)hrs = 6hrs.\)
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Therefore Required speed = \(\left(\frac{60}{5}\right)kmph.=12kmph.\)
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