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Points A and B are separated by 50 miles on a straight road.
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01 Feb 2020, 09:30
01 Feb 2020, 09:30
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Question Stats:
85% (01:07) correct
14% (01:06) wrong based on 28 sessions
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Points A and B are separated by 50 miles on a straight road. Cyclist A leaves point A, heading toward point B, at a constant speed of 15 miles per hour. At the same time, cyclist B leaves point B, traveling toward point A, at a constant speed of 10 miles per hour. How many minutes have elapsed when the two cyclists meet?
Kudos for the right answer and explanation
Show: :: OA
120
Kudos for the right answer and explanation
Re: Points A and B are separated by 50 miles on a straight road.
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03 Feb 2020, 10:07
03 Feb 2020, 10:07
1
A: rate 15 miles/ hour
B: rate 10 miles / hour
--> combined rate = 25 [miles / hour]
--> 50 [miles] / 25 [miles / hour] = 2 hours
--> question asks for minutes --> 2 * 60 = 120
B: rate 10 miles / hour
--> combined rate = 25 [miles / hour]
--> 50 [miles] / 25 [miles / hour] = 2 hours
--> question asks for minutes --> 2 * 60 = 120
Re: Points A and B are separated by 50 miles on a straight road.
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05 Jun 2020, 11:14
05 Jun 2020, 11:14
1
Even if you can't think through the full math on this one, given that these two cyclists are on a 50 mile road each going 15mph and 10mph, you can basically do this whole thing manually almost immediately when you see that the numbers are really simple.
At hour 1, you know that cyclist A has traveled 15 miles total, and cyclist B has traveled 10 miles total. You can also logically conclude that they haven't met yet.
At hour 2, you know that cyclist A has traveled 30 miles total, and cyclist B has traveled 20 miles total. Knowing that 30 + 20 = 50 (the length of the road), you can conclude that this is the moment when the cyclists meet, at 2 hours which is 120 minutes.
At hour 1, you know that cyclist A has traveled 15 miles total, and cyclist B has traveled 10 miles total. You can also logically conclude that they haven't met yet.
At hour 2, you know that cyclist A has traveled 30 miles total, and cyclist B has traveled 20 miles total. Knowing that 30 + 20 = 50 (the length of the road), you can conclude that this is the moment when the cyclists meet, at 2 hours which is 120 minutes.
