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'Distance/Speed/Time' Word Problems Made Easy

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Joined: 04 Sep 2017
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Re: 'Distance/Speed/Time' Word Problems Made Easy [#permalink]

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New post 30 Jan 2018, 20:57
Hi,

I totally understand and agree with the 4th problem's solution. However, I tried solving the 4th problem in a different way, which I think is not wrong, but I am getting an incorrect answer.
I assumed first cyclist distance to be 'x' and 2nd cyclist's to be '45-x'. Then, x/14 = (45-x)/16, and when I solve for 'x' I get 21 hours.

Where am I going wrong in my understanding?

Thanks!
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Re: 'Distance/Speed/Time' Word Problems Made Easy [#permalink]

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New post 30 Jan 2018, 22:13
Sprincejindal wrote:
Hi,

I totally understand and agree with the 4th problem's solution. However, I tried solving the 4th problem in a different way, which I think is not wrong, but I am getting an incorrect answer.
I assumed first cyclist distance to be 'x' and 2nd cyclist's to be '45-x'. Then, x/14 = (45-x)/16, and when I solve for 'x' I get 21 hours.

Where am I going wrong in my understanding?

Thanks!


You have assumed that x is the distance traveled by the first cyclist. When you solve, you get x = 21. Since it is the distance, it is 21 miles.
Time taken = 21/14 = 1.5 hrs
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Re: 'Distance/Speed/Time' Word Problems Made Easy [#permalink]

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New post 31 Jan 2018, 01:19
VeritasPrepKarishma wrote:
Sprincejindal wrote:
Hi,

I totally understand and agree with the 4th problem's solution. However, I tried solving the 4th problem in a different way, which I think is not wrong, but I am getting an incorrect answer.
I assumed first cyclist distance to be 'x' and 2nd cyclist's to be '45-x'. Then, x/14 = (45-x)/16, and when I solve for 'x' I get 21 hours.

Where am I going wrong in my understanding?

Thanks!


You have assumed that x is the distance traveled by the first cyclist. When you solve, you get x = 21. Since it is the distance, it is 21 miles.
Time taken = 21/14 = 1.5 hrs


WOW! I can't believe I did that mistake. That was really stupid!

Thank you for your prompt response.
Re: 'Distance/Speed/Time' Word Problems Made Easy   [#permalink] 31 Jan 2018, 01:19

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