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 6 of 9.

Santosh said: 1 decade ago

Please any one explain how 1/24 comes?

Kavitha said: 1 decade ago

This problems in last step step cannot do understand?

Ravichandran.k said: 1 decade ago

@Darshan kumar,

That car take more 20 min so 8.20 mins.
8+20/60= 8+1/3 = 8*3+1=24/3 is come.

Darshan Kumar said: 1 decade ago

Hi , Any one can tell me in detail how 25/3 came ?

Sagar said: 1 decade ago

Hi @kamal,

To solve the equation 1 and 2 easily we had taken 120, 200 common from equations.

Kamal said: 1 decade ago

Please explain how 1/15 and 1/24 comes ?

Kishore said: 1 decade ago

Hello sir, how did come 1/15 at 1st step ?

Sukanya said: 1 decade ago

Convert 20 minutes into hrs, 20/60 = 1/3 hrs.
Since it s 20 minutes more than the 8 hrs,
Total time = (1/3)+8 = 25/3 hrs.

Manasa said: 1 decade ago

Please can any one help out this problem.

How they got 8 in first step?

Mani said: 1 decade ago

Please can any one tell me how did you get the 1/24 in first step?

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