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Q.
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. ?
A.
20 kmph
B.
18 kmph
C.
12 kmph
D.
16 kmph
View Answer
Correct choice: C
Explanation:
Let the distance traveled be x km. Then, x/10 - x/15 = 2 3x - 2x = 60 => x = 60 km. Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs. So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m. Required speed = 60/5 = 12 kmph.
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