Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 13)

Time and Distance

13.

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

2 : 3

3 : 2

3 : 4

4 : 3

Answer: Option

Explanation:

Let the speed of the train be x km/hr and that of the car be y km/hr.

Then,	120	+	480	= 8	1	+	4	=	1	....(i)
	x		y		x		y		15

And,	200	+	400	=	25		1	+	2	=	1	....(ii)
	x		y		3		x		y		24

Solving (i) and (ii), we get: x = 60 and y = 80.

Ratio of speeds = 60 : 80 = 3 : 4.

Discussion:

84 comments Page 8 of 9.

Nishanth said: 9 years ago

@Satish. Why you have multiply 25/3*200 please explain?

Narendra said: 10 years ago

There is short cut method equation 1/equation 2.

L.dhanaraj said: 10 years ago

Hi any one tell me short cut?

Rocky said: 10 years ago

8+20/60 = 25/3.

1 hr = 60 min.

1 min = 1/60 hr.

Ashish Kapil said: 10 years ago

Is it right or wrong? Please tell me.

200/x+400/y-120/x-480/y = 1/3 or 20 minute.

Gopikrishna said: 9 years ago

How you get 1/15?

Please answer me.

Siri said: 10 years ago

I can't understand to 1/x +4/y =1/15 and 1/x +2/y =1st/24 why they take addition in this step?

Malathi said: 1 decade ago

Hai sir where we get 1/15 and 1/24?

Malathi p said: 1 decade ago

Hi, from where that 25/3 came? Please clarify my doubt sir.

Sara said: 1 decade ago

Hi @Manisha.

8 is from question see (takes 20 minutes more) than 8 hrs.

So 2 train take 8 hrs 20 minutes.

8 in hour 20 in minutes so convert 20 to hour 20/60.

8(20/60) got it?

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