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Walking at 8KMPH From Point A to Point railway station, mike [#permalink]
09 Oct 2011, 10:53

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Difficulty:

35% (medium)

Question Stats:

76% (03:27) correct
24% (02:13) wrong based on 127 sessions

Walking at 8KMPH From Point A to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point A to Railway station?

Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink]
10 Oct 2011, 06:36

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This post received KUDOS

Expert's post

gopu106 wrote:

Walking at 8KMPH From Point A to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point A to Railway station?

A)9KM B)6.66KM C)7.25KM D)12.40KM E)13KM

Alternatively, don't assume any variables.

Ratio of speed in 2 cases = 8:10 = 4:5 Ratio of time in the 2 cases = 5:4 The difference between the time is total 10 mins so time taken in the two cases must be 50 min and 40 mins respectively. Distance = 8 km/hr * (50/60) hrs = 6.66 km

You will be surprised how quickly you can solve questions using ratios (and without writing anything down once you get used to it - that probably accounts for a lot of time saving)

Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink]
11 Aug 2014, 06:01

VeritasPrepKarishma wrote:

gopu106 wrote:

Walking at 8KMPH From Point A to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point A to Railway station?

A)9KM B)6.66KM C)7.25KM D)12.40KM E)13KM

Alternatively, don't assume any variables.

Ratio of speed in 2 cases = 8:10 = 4:5 Ratio of time in the 2 cases = 5:4 The difference between the time is total 10 mins so time taken in the two cases must be 50 min and 40 mins respectively. Distance = 8 km/hr * (50/60) hrs = 6.66 km

You will be surprised how quickly you can solve questions using ratios (and without writing anything down once you get used to it - that probably accounts for a lot of time saving)

Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink]
11 Aug 2014, 21:11

Expert's post

ronr34 wrote:

VeritasPrepKarishma wrote:

gopu106 wrote:

Walking at 8KMPH From Point A to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point A to Railway station?

A)9KM B)6.66KM C)7.25KM D)12.40KM E)13KM

Alternatively, don't assume any variables.

Ratio of speed in 2 cases = 8:10 = 4:5 Ratio of time in the 2 cases = 5:4 The difference between the time is total 10 mins so time taken in the two cases must be 50 min and 40 mins respectively. Distance = 8 km/hr * (50/60) hrs = 6.66 km

You will be surprised how quickly you can solve questions using ratios (and without writing anything down once you get used to it - that probably accounts for a lot of time saving)

Karishma, Can you please explain how you got that the times must be 40 and 50 minutes?

Ratio of time taken is 5:4. This is a difference of 1. Actually the difference between time taken is 10 mins. This means, actual values have a multiplier of 10. So time taken must be 5*10 = 50 mins and 4*10 = 40 mins

Read up on ratio scale and actual values on the links given in the post above. _________________