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25 Apr 2022, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
65% (02:59) correct
35%
(03:04)
wrong
based on 193
sessions
History
Date
Time
Result
Not Attempted Yet
Ron drives from his home to the airport to catch a flight. He drives 35 miles in the first hour, but realizes that he will be 1 hour late if he continues at this speed. He increases his speed by 15 miles per hour for the rest of the way to the airport and arrives 30 minutes early. How many miles is the airport from his home?
(A) 140
(B) 175
(C) 210
(D) 245
(E) 280
Are You Up For the Challenge: 700 Level Questions
(A) 140
(B) 175
(C) 210
(D) 245
(E) 280
Are You Up For the Challenge: 700 Level Questions
25 Apr 2022, 04:08
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After the first 35 miles (at 35 miles/hour)
Let x be the hours Ron needs to catch the flight on time
We have
35 + 35(x+1) = 35 + 50(x-0.5)
=> x = 4
So the total distance is
35 + 35*5 = 35 + 175 = 210
The answer is thus (C).
Let x be the hours Ron needs to catch the flight on time
We have
35 + 35(x+1) = 35 + 50(x-0.5)
=> x = 4
So the total distance is
35 + 35*5 = 35 + 175 = 210
The answer is thus (C).
General Discussion
Updated on: 25 Apr 2022, 05:34
Originally posted by rajatchopra1994 on 25 Apr 2022, 02:11.
Last edited by rajatchopra1994 on 25 Apr 2022, 05:34, edited 1 time in total.
Last edited by rajatchopra1994 on 25 Apr 2022, 05:34, edited 1 time in total.
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Explanation:
Let, total distance is D
Time 1 = D/35
Time 2 = D/50
D/35 - 1 = D/50 + 1/2
10D - 7D/350= 3/2
3D/350 = 3/2
D = 175
Total distance = 175 + 35 = 210
IMO-C
Posted from my mobile device
Let, total distance is D
Time 1 = D/35
Time 2 = D/50
D/35 - 1 = D/50 + 1/2
10D - 7D/350= 3/2
3D/350 = 3/2
D = 175
Total distance = 175 + 35 = 210
IMO-C
Posted from my mobile device
