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:
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:
345 comments Page 10 of 35.
Ramesh said:
5 years ago
Thanks @Bhavana.
Sulbha said:
6 years ago
How can we decide that train speed is more than 50% means? Car speed is 100? how come.
We can assume anything why 100?
We can assume anything why 100?
Yash said:
6 years ago
Let Car speed is x.
The train speed is 50% faster than x.
Then the train speed is x+50%of x.
x+50x/100 =150x/100.
The train speed is 50% faster than x.
Then the train speed is x+50%of x.
x+50x/100 =150x/100.
Purvi said:
6 years ago
How can we assume that car speed is 100 not other than that speed?
Jarvis said:
6 years ago
If it's 50x.
It says that train travels in 50% less speed than the car.
It says that train travels in 50% less speed than the car.
Sameer said:
6 years ago
Let the speed of the car=x kmph.
Then, speed of the train is 50% more than car = 50x/100 + x = 3x/2 kmph. (50x/100+x/1=50x+100x/100 =150x/100= 3x/2).
Time is taken by the car to travel from A to B= 75x hours.
Time is taken by the train to travel from A to B=75/ (3x/2) +12.5/60 hours. 1 min = 1/60 hrs. So 12.5/60 hrs.
Since both start from A at the same time and reach point B at the same time,
75/x =75/ (3x/2) +12.5/60.
75/x = 150/3x + 12.5/60.
75/x= 50/x + 12.5/60.
75/x-50/x = 12.5/60.
25/x =12.5/60.
x=25*60/12.5...... 1/x=12. 5/60*25 so, x = 60*25/12.5.
X=2*60.
x = 120.
Then, speed of the train is 50% more than car = 50x/100 + x = 3x/2 kmph. (50x/100+x/1=50x+100x/100 =150x/100= 3x/2).
Time is taken by the car to travel from A to B= 75x hours.
Time is taken by the train to travel from A to B=75/ (3x/2) +12.5/60 hours. 1 min = 1/60 hrs. So 12.5/60 hrs.
Since both start from A at the same time and reach point B at the same time,
75/x =75/ (3x/2) +12.5/60.
75/x = 150/3x + 12.5/60.
75/x= 50/x + 12.5/60.
75/x-50/x = 12.5/60.
25/x =12.5/60.
x=25*60/12.5...... 1/x=12. 5/60*25 so, x = 60*25/12.5.
X=2*60.
x = 120.
Sandhu said:
6 years ago
x+50% of x's speed.
x+50x/100 = 150x/100.
x+50x/100 = 150x/100.
KArthik said:
6 years ago
How did 75/x -75/(3/2x) = 125/(10*60) came? Please explain this.
Hannu said:
6 years ago
If the speed of car is 100 then 50% of 100 is 50.
And the speed of the train is 50% more than of car speed.
so 150*x/100.
And the speed of the train is 50% more than of car speed.
so 150*x/100.
Sreenadh reddy said:
6 years ago
The train speed is 50% faster than the car. If the car is moving in 100 then the train moves 50% fast i.e. (100car speed+ 50faster speed) so they taken 150/100.
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