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sritamasia
03 Dec 2021, 09:47
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E
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35%
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Question Stats:
73% (01:40) correct
27%
(02:10)
wrong
based on 145
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An insect starts from a point and travels in a straight path of length equal to 1 mm in the first second, half of that distance in the next second and so on. In how much time would it reach a point 3 mm away from its starting point?
A. 8 sec
B. 5 sec
C. 9 sec
D. 12.5 sec
E. The insect would never reach a point 3 mm away from the starting point.
A. 8 sec
B. 5 sec
C. 9 sec
D. 12.5 sec
E. The insect would never reach a point 3 mm away from the starting point.
18 Dec 2021, 17:11
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Let’s use logic in this scenario:
1 second: the insect moves 1 mm
2 seconds: the insect moves half the previous distance —> 0.5 * 1 = 0.5 —> total distance away from starting point: 1+0.5 = 1.5
3 Seconds: the insect moves half as much as it did in the previous second, so 0.5*0.5 = 0.25 —> total distance away from starting point: 1.5 + 0.25 = 1.75
4 Seconds: the insect moves half the distance it did in the previous second: 0.5 * 0.25 = 0.125 —> Total distance: 1.75 + 0.125 = 1.875
... and so on
What we notice here is that the distance gets smaller and smaller every second, which means that the insect will take a very vey very long time before it reaches 3mm away from its starting point.
If the insect keeps moving in this pattern it will never make it to three. (Not exactly never, but it will take a very long time)
Answer E
Posted from my mobile device
1 second: the insect moves 1 mm
2 seconds: the insect moves half the previous distance —> 0.5 * 1 = 0.5 —> total distance away from starting point: 1+0.5 = 1.5
3 Seconds: the insect moves half as much as it did in the previous second, so 0.5*0.5 = 0.25 —> total distance away from starting point: 1.5 + 0.25 = 1.75
4 Seconds: the insect moves half the distance it did in the previous second: 0.5 * 0.25 = 0.125 —> Total distance: 1.75 + 0.125 = 1.875
... and so on
What we notice here is that the distance gets smaller and smaller every second, which means that the insect will take a very vey very long time before it reaches 3mm away from its starting point.
If the insect keeps moving in this pattern it will never make it to three. (Not exactly never, but it will take a very long time)
Answer E
Posted from my mobile device
27 May 2024, 02:55
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