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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Joe drove from town A to town B at a constant speed of 60 kilometers p
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07 Mar 2022, 04:00
07 Mar 2022, 04:00
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Question Stats:
83% (02:36) correct
16% (03:38) wrong based on 12 sessions
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Joe drove from town A to town B at a constant speed of 60 kilometers per hour. Upon reaching town B, he immediately turned around and drove back to town A at a constant speed of 100 kilometers per hour. If the entire round trip took 6 hours to complete, how many minutes did it take Joe to drive to town B?
A) 195
B) 210
C) 225
D) 240
E) 255
A) 195
B) 210
C) 225
D) 240
E) 255
Re: Joe drove from town A to town B at a constant speed of 60 kilometers p
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07 Mar 2022, 10:55
07 Mar 2022, 10:55
1
GreenlightTestPrep wrote:
Joe drove from town A to town B at a constant speed of 60 kilometers per hour. Upon reaching town B, he immediately turned around and drove back to town A at a constant speed of 100 kilometers per hour. If the entire round trip took 6 hours to complete, how many minutes did it take Joe to drive to town B?
Select all that apply
A) 195
B) 210
C) 225
D) 240
E) 255
Select all that apply
A) 195
B) 210
C) 225
D) 240
E) 255
Let distance between A & B = x, which is constant as we are doing a round trip. t1 as time from A to B and t2 from B to A. Also t1 + t2 = 6
So equating both distances we got 60 * t1 = 100 * t2
Putting t2 = 6 - t1 into above equation and upon simplifying for t1 we get 3.75 hours ----> 3.75 * 60 = 225 mins Hence ans is C
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Joe drove from town A to town B at a constant speed of 60 kilometers p
[#permalink]
10 Mar 2022, 13:57
10 Mar 2022, 13:57
GreenlightTestPrep wrote:
Joe drove from town A to town B at a constant speed of 60 kilometers per hour. Upon reaching town B, he immediately turned around and drove back to town A at a constant speed of 100 kilometers per hour. If the entire round trip took 6 hours to complete, how many minutes did it take Joe to drive to town B?
A) 195
B) 210
C) 225
D) 240
E) 255
A) 195
B) 210
C) 225
D) 240
E) 255
Let's start with the following word equation: distance travelled from town A to town B = distance travelled from town B to town A
Let t = the time (in hours) to drive from town A to town B
So, 6 - t = the time (in hours) to drive from town B to town A [since the TOTAL driving time is 6 hours]
Distance = (rate)(time), so we can plug values into our word equation as follows: (60)(t) = (100)(6 - t)
Expand to get: 60t = 600 - 100t
Add 100t to both sides of the equation: 160t = 600
Solve: t = 600/160 = 60/16 = 15/4 = 3.75 hours = 225 minutes
Answer: C
