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28 May 2017, 03:39
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D
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Difficulty:
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Question Stats:
95% (00:56) correct
5%
(02:03)
wrong
based on 357
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Two cars start at the same point and travel in opposite directions. If one car travels at 45 miles per hour and the other at 60 miles per hour, how much time will pass before they are 210 miles apart?
(A) 0.5 hours
(B) 1 hour
(C) 1.5 hours
(D) 2 hours
(E) 2.5 hours
(A) 0.5 hours
(B) 1 hour
(C) 1.5 hours
(D) 2 hours
(E) 2.5 hours
28 May 2017, 05:27
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Two cars start at the same point and travel in opposite directions. If one car travels at 45 miles per hour and the other at 60 miles per hour, how much time will pass before they are 210 miles apart?
There are two ways to solve this one:
{1} Find the relative speed between two cars and find the time taken: \(\frac{210}{ relative speed : 45+60}\) = \(\frac{210}{105}\) = 2 hours
{2} Find the relationship between the two car's speed.
for every 60 miles car 1 travels, car 2 travels 45 miles
that is : for every 4 mile car1 travels, car2 travels 3 miles
So car 1 and car 2 will cover the distance 210 miles in part : 4:3
let x be the factor for the distance travelled by car 1 and car2 : 4x + 3x = 210 ; x = 30
so car 1 drove = 4 * 30 = 120 miles
car 2 drove = 3 * 30 = 90 miles
time taken by car 1 to travel = time taken by car 2 to travel = \(\frac{120}{60}\) = \(\frac{90}{45}\) = 2 hours
Kudos me if you like the approach. It will give me encouragement
There are two ways to solve this one:
{1} Find the relative speed between two cars and find the time taken: \(\frac{210}{ relative speed : 45+60}\) = \(\frac{210}{105}\) = 2 hours
{2} Find the relationship between the two car's speed.
for every 60 miles car 1 travels, car 2 travels 45 miles
that is : for every 4 mile car1 travels, car2 travels 3 miles
So car 1 and car 2 will cover the distance 210 miles in part : 4:3
let x be the factor for the distance travelled by car 1 and car2 : 4x + 3x = 210 ; x = 30
so car 1 drove = 4 * 30 = 120 miles
car 2 drove = 3 * 30 = 90 miles
time taken by car 1 to travel = time taken by car 2 to travel = \(\frac{120}{60}\) = \(\frac{90}{45}\) = 2 hours
Kudos me if you like the approach. It will give me encouragement
General Discussion
Luckisnoexcuse
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28 May 2017, 04:00
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relative speed is 105 miles per hour and they will take 2 hrs to be 210 miles apart
Option D
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Option D
Sent from my iPhone using GMAT Club Forum
