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30 Dec 2016, 04:49
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (01:33) correct
7%
(01:02)
wrong
based on 119
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A bug is traveling between 2 points so that the distance it travels every day is half of the distance it traveled the day before. If the distance between the two points is 14 units, how much should it travel on the first day in order to reach its destination in 3 days?
A. 4
B. 14/3
C. 6
D. 7
E. 8
A. 4
B. 14/3
C. 6
D. 7
E. 8
30 Dec 2016, 07:04
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Say the distance travelled on day 1 is x.
Total distance in 3 days x + x/2 + x/4 =14
x=8
E
Aiming for 750!
Total distance in 3 days x + x/2 + x/4 =14
x=8
E
Aiming for 750!
30 Dec 2016, 23:49
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Bunuel
A bug is traveling between 2 points so that the distance it travels every day is half of the distance it traveled the day before. If the distance between the two points is 14 units, how much should it travel on the first day in order to reach its destination in 3 days?
A. 4
B. 14/3
C. 6
D. 7
E. 8
A. 4
B. 14/3
C. 6
D. 7
E. 8
Solution
Given :
- 1. The total distance between the two points is 14 units.
2. The bug needs to reach the destination in 3 days.
3. The distance traveled by the bug every day is half of the distance traveled the day before.
Find :
- What is the distance which he needs to travel on the first day.
Working Out :
- Using the information given, we can write :
\(x + \frac{x}{2} + \frac{x}{2^2} = 14\)
where x is the distance traveled on the first day.
Instead of solving the equation, if we just observe it and use the answer options, we can infer, that we need to find such a value of x which gives an integer when it is divided by \(2\) and \(2^2\).
So the answer could be either 4 or 8. Plugging in the values in equation 1, we get -
when x = 4,
- 4+ 2+ 1 = 7
when x = 8
- 8 + 4 + 2 = 14
Therefore, we can see clearly that x = 8 ensures that the bug covers 14 units in 3 days, hence that is our answer.
Correct Answer: Option E
Thanks,
Saquib
Quant Expert
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