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18 Mar 2026, 08:59
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (02:46) correct
24%
(03:28)
wrong
based on 51
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Youssef runs at a constant speed of 9 miles per hour, and Amina at a constant speed of 12 miles per hour. Youssef started running 4 1/2 hours ago, and Amina started running 10 minutes later.
If they both stopped running when they had run the same distance, how long ago did they stop running?
A. 3 hours 50 minutes ago
B. 3 hours 45 minutes ago
C. 3 hours 30 minutes ago
D. 3 hours 24 minutes ago
E. 3 hours 20 minutes ago
If they both stopped running when they had run the same distance, how long ago did they stop running?
A. 3 hours 50 minutes ago
B. 3 hours 45 minutes ago
C. 3 hours 30 minutes ago
D. 3 hours 24 minutes ago
E. 3 hours 20 minutes ago
01 Apr 2026, 09:00
Kudos
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kevincan
Let \(t\) be the time at which both ran equal distances. At that time Amina ran for \(t\) minutes and Youssef ran for \( t+10\) minutes.
\(9(t+10) = 12t\)
\(9t+90=12t\)
\(t = 30 \) minutes.
Thus Yousef stopped running \(30 +10 = 40\) minutes after he started.
Since he started running \( 270 \) (\(4.5\)hrs) minutes ago and stopped after \(40\) minutes had passed, he stopped running \(270 - 40 = 230\) minutes ago.
\(230 \) minutes = \(3\) hours \(50\) minutes.
Ans A
Note: From a particular reference point in the past, as you approach the present, time decreases. Say \(10\) years ago a volacano erupted, \(2\) years after that, means \(8\) years ago.
Hope it helped.
