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A-town and B-ville are connected by a straight
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20 Jul 2022, 09:29
20 Jul 2022, 09:29
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Question Stats:
99% (02:01) correct
0% (00:00) wrong based on 14 sessions
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A-town and B-ville are connected by a straight, 420-mile road. At noon Atu left A-town for B-ville, and Brek left B-ville for A-town. If Atu travels at 56 miles per hour and Brek travels at 49 miles per hour, how many miles apart will Atu and Brek be 1 hour before they meet?
(A) 105
(B) 120
(C) 413
(D) 500
(E) 110
(A) 105
(B) 120
(C) 413
(D) 500
(E) 110
Re: A-town and B-ville are connected by a straight
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20 Jul 2022, 09:32
20 Jul 2022, 09:32
1
Solution
Let the time they will meet together be x hrs. So Atu will travel 56x miles and Brek will travel 49x miles for them to meet.
Since they are travelling from opposite directions 420 = 56x + 49x,
=> x = 4 hours.
1 hour before they meet will be 3 hours.
By 3 hours, Atu will have travelled 56(3) = 168 miles, and
Brek will have travelled 49(3) = 147 miles.
So distance apart is 420 - (168+147)= 105 miles apart.
Answer Choice A
Let the time they will meet together be x hrs. So Atu will travel 56x miles and Brek will travel 49x miles for them to meet.
Since they are travelling from opposite directions 420 = 56x + 49x,
=> x = 4 hours.
1 hour before they meet will be 3 hours.
By 3 hours, Atu will have travelled 56(3) = 168 miles, and
Brek will have travelled 49(3) = 147 miles.
So distance apart is 420 - (168+147)= 105 miles apart.
Answer Choice A
Re: A-town and B-ville are connected by a straight
[#permalink]
24 Nov 2023, 07:27
24 Nov 2023, 07:27
A-town and B-ville are connected by a straight, 420-mile road. At noon Atu left A-town for B-ville, and Brek left B-ville for A-town. If Atu travels at 56 miles per hour and Brek travels at 49 miles per hour, how many miles apart will Atu and Brek be 1 hour before they meet?
Solution:
Another easiest way..
For 1 hr A and B both travelled 49+56=105,
From ("how many miles apart will Atu and Brek be 1 hour before they meet") question it can be said that they will apart from 105 Miles from each other.
Solution:
Another easiest way..
For 1 hr A and B both travelled 49+56=105,
From ("how many miles apart will Atu and Brek be 1 hour before they meet") question it can be said that they will apart from 105 Miles from each other.
