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[ARCHIVED THREAD] - Math question

Posted: 8/30/2013 7:18:58 AM EDT

One of my friends is bugging me with this, I thought I had it right but they say no.

Bus 1 leaves the station at 12:00pm at 62mph. Bus 2 leaves 4 hours later following the same path traveling at 77mph. When will bus 2 overtake 1, assume it is a straight road with no stops or anything and instant acceleration.

I came up with 4:32 in the morning the following day

Posted: 8/30/2013 7:22:48 AM EDT

[#1]

I get 8:32 AM. The closing of the gap starts at 4 PM when the second bus leaves. At that time the first bus is 248 miles ahead

With a 15 MPH differential that works out to 992 minutes to catch up, or 16 hrs. 32 min.

Posted: 8/30/2013 7:25:18 AM EDT

[#2]

I got 20 hours 32 minutes from the time the first train left, so 8:32 am.

Rate x Time = Distance

Train 1: 62 mph x t hours = m miles
Train 2: 77 mph x (t - 4) hours = m miles

Set them equal and solve for t.

Posted: 8/30/2013 7:28:21 AM EDT

[#3]

Quote History

Quoted:
I got 20 hours 32 minutes from the time the first train left, so 8:32 am.

Rate x Time = Distance

Train 1: 62 mph x t hours = m miles
Train 2: 77 mph x (t - 4) hours = m miles

Set them equal and solve for t.

View Quote

WinnahWinnahChickenDinnah

Posted: 8/30/2013 7:29:46 AM EDT

[#4]

yep I was on the right path I just forgot to take into account the 4 hour difference in departure times. Thanks

Posted: 8/30/2013 7:33:43 AM EDT

[#5]

Quote History

Quoted:

yep I was on the right path I just forgot to take into account the 4 hour difference in departure times. Thanks

View Quote

Let's hope that the driver of bus #2 isn't texting.

Posted: 8/30/2013 7:34:46 AM EDT

[#6]

B1: 12pm @ V2=62mph
B2: 4pm @ V1=77mph

X1=V1*t
X2= V2*t-V2*4(hours)

solve X1=X2 for t

t= (V2*4) / (V2-V1)

t=20.53 or 8:32am the nest morning

ETA: Beat to the punch...

Posted: 8/30/2013 7:49:48 AM EDT

[#7]

Entirely too pleased with myself for getting this answer right.

Posted: 8/30/2013 7:54:17 AM EDT

[#8]

Doesn't matter. With instant acceleration everyone would be dead and the universe would cease to exist with the energy used to do this.

Posted: 8/30/2013 8:04:25 AM EDT

[#9]

Bus 2 is struck in traffic for 8 hours due to a 20 car pile up involving 4 tractor trailers that over turned and caught fire.

Therefore bus 2 never catches up to bus 1 which left at 4am on its way to Vegas.

Or the correct answer is 87

Posted: 8/30/2013 8:06:38 AM EDT

[#10]

Is either of the buses on a treadmill?

Posted: 8/30/2013 8:20:07 AM EDT

[#11]

Quote History

Quoted:
Doesn't matter. With instant acceleration everyone would be dead and the universe would cease to exist with the energy used to do this.

View Quote

Never heard of a rolling start?

[ARCHIVED THREAD] - Math question

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[ARCHIVED THREAD] - Math question

[ARCHIVED THREAD] - Math question