Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 4)
4.
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
100 kmph
110 kmph
120 kmph
130 kmph
Answer: Option
Explanation:

Let speed of the car be x kmph.

Then, speed of the train = 150 x = 3 x kmph.
100 2

75 - 75 = 125
x (3/2)x 10 x 60

75 - 50 = 5
x x 24

x = 25 x24 = 120 kmph.
5

Discussion:
342 comments Page 33 of 35.

Jay said:   5 years ago
How 3/2 come? Please explain.

Hani said:   5 years ago
@Shavra Yaqub Shah.

I'm not getting your answer method, please explain to me in detail.

Navas said:   5 years ago
I'm not getting your answer method, please explain to me in detail.

Aldrin said:   5 years ago
Also, they assumed that the car didn't stop anywhere and was continuously travelling.

XiYoZ said:   5 years ago
How (24 *25)/5 came?

Vicky045 said:   5 years ago
By Change Minute to hours 12.5*60.

Am I right, then how 12.5/60? Please explain me.

Anonymous said:   5 years ago
@VIcky045.

Actually,
To take delay time of train we need to have express time in hr(given is in min).
To convert Minute to Hour (x minutes/60).
To convert Hour to Minute (x hours*60).
So,
Converting 12.5 mins to 12.5/60 hour.
125/10*60 also correct since it only removes decimals.

Gabbar said:   5 years ago
Car speed is X KMPH then,
Train speed=(car speed + (50*carspeed)/100),

ie train speed =(X+(50X/100)),

Take LCM and then(100X+50X)/100 . ie 150X/100,

Aditya said:   5 years ago
Those who are not understanding 75/ 3/2.
For them (75*2) /3 = 50.

Rakkesh said:   5 years ago
The car and train reached 75km at the same time.the train was late for 12.5 mins.
The train could reach 12.5 mins faster than the car.
* 75/x is the timing of car to reach 75kms.
*75/(3x/2) +12.5/60(time for stops) is the time taken by train to reach 75kms.
*Both the timings are equal since the time taken by both car and train are equal so then you can get the equation.
75/x = 75/(3x/2) + 12.5/60.
75/x - 75/(3x/2) = 12.5/60.


Post your comments here:

Your comments will be displayed after verification.