Aptitude - Time and Distance - Discussion
Discussion Forum : Time and Distance - General Questions (Q.No. 13)
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:
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 4 of 9.
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.
That car take more 20 min so 8.20 mins.
8+20/60= 8+1/3 = 8*3+1=24/3 is come.
Sagar said:
1 decade ago
Hi @kamal,
To solve the equation 1 and 2 easily we had taken 120, 200 common from equations.
To solve the equation 1 and 2 easily we had taken 120, 200 common from equations.
Moumita roy said:
1 decade ago
I can't understand to 1/x +4/y =1/15 and 1/x +2/y =1st/24.
Then how will do x=60 y=80?
Then how will do x=60 y=80?
Akanksha said:
5 years ago
I didn't understand the step of solving the equation 1 and 2. Please someone explain me.
(2)
Prasad said:
1 decade ago
Train speed = 80/20*60 = 240km.
Car speed = 600-240 = 360km.
Ratio 240:360 or 3:4.
Car speed = 600-240 = 360km.
Ratio 240:360 or 3:4.
(1)
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.
200/x+400/y-120/x-480/y = 1/3 or 20 minute.
Subash said:
9 years ago
I can't understand. How to get eqn (1) and eqn (2)? Anyone can explain full steps?
Deepu said:
5 years ago
Please, show how to solve equation 1 and 2 step by step? Anyone explain, please.
Rakesh said:
1 decade ago
Do we any alternative method for this because this method is time consuming.
Shwetha said:
1 decade ago
Hi das 120 (1/x+4/y) = 8 then 1/x+4/y=8/20 that is equal to 1/x+4/y=1/15.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers