20) A can run one full round of a circular track in 6 min and B in 15 min. If both A
and B start simultaneously from the same starting point then How many times would
they met in the time B has completed 10 rounds when running in same direction, and
In opposite direction?
a) 15, 10
b) 25, 30
c) 15, 35
d) 35, 10
e) None of these
Answers
Solution :-
→ A time : B time = 6 min : 15 min = 2 : 5
So,
→ A speed : B speed = 5 : 2 { since Time ∝ 1/Speed }
then,
→ When B covers 2 rounds A covers = 5 rounds
→ when B covers 1 round A cover = (5/2) rounds
→ When B covers 10 rounds A cover = (5/2) * 10 = 25 rounds .
therefore,
→ When running in same direction they meets = 25 - 10 = 15 times .
→ When running in opposite direction they meets = 25 + 10 = 35 times .
Hence, Option (C) is correct answer .
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