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An insect crawls up 5 cm every second on a 60 cm vertical rod and then falls down 2 cm over the next second. How many seconds will it take to climb the rod?
- a)10
- b)20
- c)30
- d)39
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
An insect crawls up 5 cm every second on a 60 cm vertical rod and then...
Distance covered in 1st second = 5 cm
Distance covered in 2nd second = - 2 cm
∴ Total distance covered in two seconds
= 5 - 2 = 3 cm
Time taken in climb distance of 3 cm = 2 secs
Distance climbed by insect in 38 secs.
= 38/2 x 3 = 57cm
Distance covered in 39th secs
= 57 + 5
= 62 cm
Which is more than the rod height.
Hence, insect will climb the rod in 39 sec.
Distance covered in 2nd second = - 2 cm
∴ Total distance covered in two seconds
= 5 - 2 = 3 cm
Time taken in climb distance of 3 cm = 2 secs
Distance climbed by insect in 38 secs.
= 38/2 x 3 = 57cm
Distance covered in 39th secs
= 57 + 5
= 62 cm
Which is more than the rod height.
Hence, insect will climb the rod in 39 sec.
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Community Answer
An insect crawls up 5 cm every second on a 60 cm vertical rod and then...
Calculation:
- The insect climbs 5 cm every second and falls 2 cm every second.
- So, in every 2 seconds, it climbs 5 cm - 2 cm = 3 cm.
- To climb a 60 cm rod, it will take 60 cm / 3 cm per 2 seconds = 20 cycles of 2 seconds each.
- Therefore, it will take 20 cycles x 2 seconds = 40 seconds to climb the rod.
Correct Answer: Option D) 39
- The insect climbs 5 cm every second and falls 2 cm every second.
- So, in every 2 seconds, it climbs 5 cm - 2 cm = 3 cm.
- To climb a 60 cm rod, it will take 60 cm / 3 cm per 2 seconds = 20 cycles of 2 seconds each.
- Therefore, it will take 20 cycles x 2 seconds = 40 seconds to climb the rod.
Correct Answer: Option D) 39
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An insect crawls up 5 cm every second on a 60 cm vertical rod and then falls down 2 cm over the next second. How many seconds will it take to climb the rod?a)10b)20c)30d)39Correct answer is option 'D'. Can you explain this answer?
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