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Two vehicles leave the same location at exactly the same time, the fir
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02 Nov 2021, 07:45
02 Nov 2021, 07:45
Expert Reply
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Question Stats:
92% (02:05) correct
7% (02:36) wrong based on 14 sessions
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Two vehicles leave the same location at exactly the same time, the first traveling due west and the second traveling due east. The average speed of the first vehicle is 10 miles per hour faster than the average speed of the second vehicle. When the two vehicles are 390 miles apart, the second vehicle has gone a distance of 180 miles. In how many hours will the two vehicles be 390 miles apart?
Show: ::
3 hours
Two vehicles leave the same location at exactly the same time, the fir
[#permalink]
17 Nov 2021, 08:19
17 Nov 2021, 08:19
2
Let's take the speed of the first vehicle \(= x + 10\) kmph so the speed of the second \(= x \) kmph
When both are \(390\) km apart, the second had travelled \(180\) km so first will have travelled \(210\) kms
And the time will remain same
\(Time_{first} = Time_{second}\)
\(\frac{210 }{ x + 10} = \frac{180 }{ x}\)
\(180 (x + 10) = 210x\)
\(x = 60\)
Time \(= 3\) hours
Answer 3
When both are \(390\) km apart, the second had travelled \(180\) km so first will have travelled \(210\) kms
And the time will remain same
\(Time_{first} = Time_{second}\)
\(\frac{210 }{ x + 10} = \frac{180 }{ x}\)
\(180 (x + 10) = 210x\)
\(x = 60\)
Time \(= 3\) hours
Answer 3
Re: Two vehicles leave the same location at exactly the same time, the fir
[#permalink]
14 Oct 2022, 04:57
14 Oct 2022, 04:57
Carcass wrote:
Two vehicles leave the same location at exactly the same time, the first traveling due west and the second traveling due east. The average speed of the first vehicle is 10 miles per hour faster than the average speed of the second vehicle. When the two vehicles are 390 miles apart, the second vehicle has gone a distance of 180 miles. In how many hours will the two vehicles be 390 miles apart?
Show: ::
3 hours
hello this is probably my first answer I took 2nd car speed as 100 and first as 110(as it was 10 miles faster)
distance was 390 apart and 2nd car got 180 miles more so i added both got 570
then taking speed=d/t formula
570/220 (220 adding both the speed)
got 2.59 what am i doing wrong if im putting numbers instead of doing algebra???
