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04 Apr 2022, 04:15
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
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Question Stats:
59% (02:40) correct
41%
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wrong
based on 98
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A person travels in a car with uniform speed. He observes a mile-stone, which has 2 digits. After one hour he observes another mile-stone with same digits reversed. After another hour he observes another mile-stone with same 2 digits containing a 0. Find the speed of the car in miles per hour, if mile-stones tell you how far one has travelled from the starting point.
(A) 40
(B) 45
(C) 50
(D) 55
(E) 60
(A) 40
(B) 45
(C) 50
(D) 55
(E) 60
04 Apr 2022, 09:29
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After some time, let the mileage shows (10a+b)
After one hour, the numbers are reversed, ie (10b+a);
If X is the speed in miles per hour, then speed(X) x time(1) = distance ( 10b+a - (10a+b)) = 9b-9a = 9(b-a);
Therefore,
X = 9(b-a)
speed is a multiple of 9 and the only answer choice is 45.
Let us verify,
45 = 9 (b-a) => 5 = b-a
The possible options are (9-4),(8-3),(7-2),(6-1).
After one hour, the two digits contain a zero. By adding another 45, the reversed number should again come back to original number with zero. Surely the only possibility that can get zero is adding 60's to 40's.
Lets try (6-1) => 16+45 = 61 (reversed) + 45 = 106 (two digits with zero in it).
Experts, let me know your views too.
After one hour, the numbers are reversed, ie (10b+a);
If X is the speed in miles per hour, then speed(X) x time(1) = distance ( 10b+a - (10a+b)) = 9b-9a = 9(b-a);
Therefore,
X = 9(b-a)
speed is a multiple of 9 and the only answer choice is 45.
Let us verify,
45 = 9 (b-a) => 5 = b-a
The possible options are (9-4),(8-3),(7-2),(6-1).
After one hour, the two digits contain a zero. By adding another 45, the reversed number should again come back to original number with zero. Surely the only possibility that can get zero is adding 60's to 40's.
Lets try (6-1) => 16+45 = 61 (reversed) + 45 = 106 (two digits with zero in it).
Experts, let me know your views too.
01 Jul 2022, 23:39
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Bookmarks
A person travels in a car with uniform speed. He observes a mile-stone, which has 2 digits. After one hour he observes another mile-stone with same digits reversed. After another hour he observes another mile-stone with same 2 digits containing a 0. Find the speed of the car in miles per hour, if mile-stones tell you how far one has travelled from the starting point.
(A) 40
(B) 45
(C) 50
(D) 55
(E) 60
Given, the milestone has 2 digits containing a 0, so it will be of the 0X.
(Note :- It can't be X0, since after 1 hr he will reach the milestone 0X !!..NOT possible since it should show greater value since the milestone value after 1 hour will always be larger than previous value)
So, at T, he sees milestone 0X ie, 0*10 + X*1 = X
at T+1 hr, he sees milestone X0 ie, X*10 + 0*1 = 10X
Distance covered (in 1 hour) = 10X - X = 9X
so, Speed = 9X mph
Only option (B) can be expressed in 9X format ie, 45 = 9*5
(Clearly, the milestones will be 05 AND 50)
(B) is the correct answer
Hope this helps..
(A) 40
(B) 45
(C) 50
(D) 55
(E) 60
Given, the milestone has 2 digits containing a 0, so it will be of the 0X.
(Note :- It can't be X0, since after 1 hr he will reach the milestone 0X !!..NOT possible since it should show greater value since the milestone value after 1 hour will always be larger than previous value)
So, at T, he sees milestone 0X ie, 0*10 + X*1 = X
at T+1 hr, he sees milestone X0 ie, X*10 + 0*1 = 10X
Distance covered (in 1 hour) = 10X - X = 9X
so, Speed = 9X mph
Only option (B) can be expressed in 9X format ie, 45 = 9*5
(Clearly, the milestones will be 05 AND 50)
(B) is the correct answer
Hope this helps..
