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A car and a bicycle traveled in the same direction along the equal rou

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A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post Updated on: 08 Nov 2018, 02:04
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[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min

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Originally posted by MathRevolution on 07 Nov 2018, 01:47.
Last edited by MathRevolution on 08 Nov 2018, 02:04, edited 1 time in total.
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post Updated on: 08 Nov 2018, 00:27
1
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min



hey pushpitkc where am i wrong ? :)

Why C is correct answer ? i am getting B :? :)

if after 15 minutes the car passed a bike, it means that car covered 1/4 * 60 = 10 miles after overtaking bike

so distance between car and bike is 10 miles

so for bike to reach a waiting point is 1/3*60 = 20 minutes


Bunuel maybe you can explain ? :) or you GMATGuruNY :)

how about you ? :) Salsanousi

Originally posted by dave13 on 07 Nov 2018, 09:34.
Last edited by dave13 on 08 Nov 2018, 00:27, edited 2 times in total.
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 07 Nov 2018, 13:55
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min



MathRevolution are you sure the OA is C ? I am getting B for some reason :? if C is the answer please provide your revolutionary explanation, just dont make it too complicated to understand :)
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 08 Nov 2018, 01:21
1
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min


Dear all ..
This question makes no sense to me . There is no clarity in the question .
First of all , the starting point is not given . And then even if we consider the car crossed bicycle and travelled some 15 mins , the relative gap will be only 2.5 miles as
both are travelling . There is no answer choice for this .
So I don't think this question is a good question . Please let me know for any concerns . Thank you !!
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A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 08 Nov 2018, 02:07
1
dave13 wrote:
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min



MathRevolution are you sure the OA is C ? I am getting B for some reason :? if C is the answer please provide your revolutionary explanation, just dont make it too complicated to understand :)


Accidentally, the wrong answer is set. It is fixed now.
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 08 Nov 2018, 03:18
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Hi dave13 I believe the question poster answered your question and addressed your concern.

But I don't know about this question and the way it is worded. I also doubt the answer choices, but it could just be me.

The way I approached it is that for the car it takes 15 minutes to travel 10 miles while the bicycle will cover 10 miles in 20 minutes.

So for the bicycle the distance covered is 30 * 1/4 = 7.5 miles.

Now it means that the car passed the bicycle by 2.5 miles. If we assume the car stopped there.

So it means the bicycle's time to reach the car is = distance/speed * 60 (to convert to minutes) = 2.5/30 * 60 = 5 minutes.

I hope someone else can validate this though. Perhaps chetan2u or Gladiator59

Thanks :D
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 08 Nov 2018, 03:36
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Hello dave13

Apologies for the late reply.

You are absolutely correct here and the original poster has updated the OA to correctly reflect B.

The way I tackled this question is - the relative speed of the car w.r.t the bicycle is 10 mph ( as 40 mph - 30 mph) in the same direction. So in 15 mins, the car will have travelled a distance of 10mph * ( 15/60) hr = 10/4 = 2.5 miles ahead of the bicycle.

Now, the bicycle traveling at 30 mph will take ( 2.5 miles / 30 mph) hrs or (2.5/30)*60 mins = 5 mins to reach that point where the car has halted.

Hence the bicycle travels for a total of 15 mins ( original when both car and bicycle are traveling) + 5 mins to catch up = 20 mins.

Hope this resolves your query! Let me know if you want to discuss some more.

Best,
GLadi


dave13 wrote:
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min



hey pushpitkc where am i wrong ? :)

Why C is correct answer ? i am getting B :? :)

if after 15 minutes the car passed a bike, it means that car covered 1/4 * 60 = 10 miles after overtaking bike

so distance between car and bike is 10 miles

so for bike to reach a waiting point is 1/3*60 = 20 minutes


Bunuel maybe you can explain ? :) or you GMATGuruNY :)

how about you ? :) Salsanousi

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Gladi



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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 08 Nov 2018, 03:38
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Hi Salsanousi,

Your approach is correct. So the bicycle does take 5 mins to catch up to the car. However, the bicycle has already travelled for 15 mins and hence the total travel time is 20 mins.

Hope this resolves the confusion. Let me know if you want to discuss further.

Best,
Gladi

Salsanousi wrote:
Hi dave13 I believe the question poster answered your question and addressed your concern.

But I don't know about this question and the way it is worded. I also doubt the answer choices, but it could just be me.

The way I approached it is that for the car it takes 15 minutes to travel 10 miles while the bicycle will cover 10 miles in 20 minutes.

So for the bicycle the distance covered is 30 * 1/4 = 7.5 miles.

Now it means that the car passed the bicycle by 2.5 miles. If we assume the car stopped there.

So it means the bicycle's time to reach the car is = distance/speed * 60 (to convert to minutes) = 2.5/30 * 60 = 5 minutes.

I hope someone else can validate this though. Perhaps chetan2u or Gladiator59

Thanks :D

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Gladi



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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 08 Nov 2018, 03:43
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Hi Gladiator59

The wording "how long it takes the bicycle to reach the waiting point?" doesn't that mean 5 minutes?

It doesn't ask for the total period travelled? I'm not sure though about the wording as it confused me.

Thanks!
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 08 Nov 2018, 03:47
I would agree with you, the question could have been better worded. However, on looking at the options it becomes clear that the question intends to ask the total time.

Best,
Gladi

Salsanousi wrote:
Hi Gladiator59

The wording "how long it takes the bicycle to reach the waiting point?" doesn't that mean 5 minutes?

It doesn't ask for the total period travelled? I'm not sure though about the wording as it confused me.

Thanks!

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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 08 Nov 2018, 03:56
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min


Answer:

It is given that the car reaches the waiting point 15 minutes after crossing the bi-cycle,
so distance traveled by car in 15 min = 40*(15/60) = 10 miles

so, time taken by bi-cycle to travel 10 miles = 20 minutes. (bcz, speed of bicycle is given 30 miles in an hour, which means it covers 10 miles every 1/3 hrs which is nothing but 20 minutes).

so, option B is correct.
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 09 Nov 2018, 01:24
=>

Since the car traveled for \(15\) minutes with the speed \(40\) mph, it moved \(10\) miles. It take \(20\) minutes the bicycle to travel \(10\) miles with the speed \(30\) mph.

Therefore, the answer is B.
Answer: B
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 09 Nov 2018, 01:47
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min


The wording of the question is too bad.
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Re: A car and a bicycle traveled in the same direction along the equal rou  [#permalink]

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New post 09 Nov 2018, 13:18
MathRevolution wrote:
[Math Revolution GMAT math practice question]

A car and a bicycle traveled in the same direction along the equal route at their constant speed rates of 40 miles per hour and 30 miles per hour, respectively. After 15 minutes the car passed the bicycle, the car reaches a waiting point, how long it takes the bicycle to reach the waiting point?

A. 15 min
B. 20 min
C. 25 min
D. 30 min
E. 35 min


In 15 minutes, or 1/4 of an hour, the car travels 40/4 miles and the bicycle travels 30/4 miles.

Thus, the bicycle needs to travel 40/4 - 30/4 = 10/4 = 5/2 miles to reach the car.

The bicycle will travel 5/2 miles in (5/2)/30 = 5/60 = 1/12 hour, which is 60 x 1/12 = 5 minutes.

Including the 15 minutes that the bike has already traveled, it takes 15 + 5 = 20 minutes for the bike to reach the waiting point.

Answer: B
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Re: A car and a bicycle traveled in the same direction along the equal rou   [#permalink] 09 Nov 2018, 13:18
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