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Towns X and Y are 220 miles apart along a road. Car A, traveling at 20
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20 Jan 2023, 00:00
20 Jan 2023, 00:00
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Expert Reply
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Question Stats:
75% (01:55) correct
25% (02:04) wrong based on 20 sessions
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Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 miles per hour, leaves from Town X towards Town Y at the same time as Car B, traveling at 35 miles per hour, leaves Town Y towards Town X. How many miles will Car B have traveled when the two cars pass by each other?
(A) 55
(B) 70
(C) 80
(D) 110
(E) 140
(A) 55
(B) 70
(C) 80
(D) 110
(E) 140
Re: Towns X and Y are 220 miles apart along a road. Car A, traveling at 20
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24 Jan 2023, 06:18
24 Jan 2023, 06:18
Expert Reply
OE
The times for the two cars are equal, because they start simultaneously. The sum of the distances traveled by the two cars must equal 220 miles. You can solve for t: 201 + 351 = 55t = 220, so t = 4 hours. The distance traveled by Car B is then found as follows: R x t = 33x4 = 140 miles.
An alternative method would be to add the rates of the two cars, since they are traveling towards each other. The combined rate of 55 miles per hour is the rate at which the initial distance of 220 miles shrinks to zero. This will also lead to t = 4 hours.Yet another approach is to tabulate the distances traveled by the two cars every hour, continuing until the total distance equals 220 miles.
The times for the two cars are equal, because they start simultaneously. The sum of the distances traveled by the two cars must equal 220 miles. You can solve for t: 201 + 351 = 55t = 220, so t = 4 hours. The distance traveled by Car B is then found as follows: R x t = 33x4 = 140 miles.
An alternative method would be to add the rates of the two cars, since they are traveling towards each other. The combined rate of 55 miles per hour is the rate at which the initial distance of 220 miles shrinks to zero. This will also lead to t = 4 hours.Yet another approach is to tabulate the distances traveled by the two cars every hour, continuing until the total distance equals 220 miles.
gmatclubot
Re: Towns X and Y are 220 miles apart along a road. Car A, traveling at 20 [#permalink]
24 Jan 2023, 06:18
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