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A man travels 720 miles in 8 hours, partly by air and partly by train.
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19 Jan 2024, 06:20
19 Jan 2024, 06:20
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A man travels 720 miles in 8 hours, partly by air and partly by train. If he had travelled all the way by air, he would have saved 4/5 of the time he was in train and arrived at his destination 4 hours early. Which of the following is true regarding the distance, in miles, travelled by the man by air?
Indicate all correct options.
(A) Distance travelled by air is 480 miles.
(B) Distance travelled by air is 540 miles.
(C) Distance travelled by air is thrice the distance travelled by train.
(D) Distance travelled by air is 1/3 of the total distance travelled by the man.
Indicate all correct options.
(A) Distance travelled by air is 480 miles.
(B) Distance travelled by air is 540 miles.
(C) Distance travelled by air is thrice the distance travelled by train.
(D) Distance travelled by air is 1/3 of the total distance travelled by the man.
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Re: A man travels 720 miles in 8 hours, partly by air and partly by train.
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19 Jan 2024, 14:57
19 Jan 2024, 14:57
1
Let x = time travelled by air, y = time travelled by train. Given that the total time travelled was 8 hours, x+y = 8.
If he travelled only by air, his total time travelled would've been 8-4 = 4. Let p = the speed in mph of the airplane.
4 * p = 720
p = 180
Since he saves 4 hours going only by air, which is 4/5 of the time he was in train,
4 = 4/5y
y = 5
Since x + y = 8, x = 3. Using the distance rate formula:
Distanced travelled by air = 3 * 180 = 540 <-- This is option B.
Distanced travelled by train = 720 - 540 = 180
540 / 180 = 3 <-- This is option C.
If he travelled only by air, his total time travelled would've been 8-4 = 4. Let p = the speed in mph of the airplane.
4 * p = 720
p = 180
Since he saves 4 hours going only by air, which is 4/5 of the time he was in train,
4 = 4/5y
y = 5
Since x + y = 8, x = 3. Using the distance rate formula:
Distanced travelled by air = 3 * 180 = 540 <-- This is option B.
Distanced travelled by train = 720 - 540 = 180
540 / 180 = 3 <-- This is option C.
gmatclubot
Re: A man travels 720 miles in 8 hours, partly by air and partly by train. [#permalink]
19 Jan 2024, 14:57
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