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 24 of 35.
Vipul said:
1 decade ago
Can you explain how 125/10*6?
Karthik said:
1 decade ago
It says 50% more than Car's speed.
So if car's speed is X the train's speed is = (X+(50/100)X).
Hence (150/100)X.
So if car's speed is X the train's speed is = (X+(50/100)X).
Hence (150/100)X.
Anonymous said:
1 decade ago
Can someone explain this because I don't understand where all the fractions just popped out.
GIS said:
1 decade ago
Let Speed of Car = x.
Train is 50% faster than car = x + x/2 = 3x/2.
Time difference = 12. 5 mins = 12. 5/60 hours = 125/600 = 5/24.
Distance = 75 km.
(Distance/Car speed) - (Distance/Train speed) = 12. 5 min = 5/24 hr.
(75/x) - (75/ (3/2x) ) = 5/24.
(75/x) - (150/3x) = 5/24.
25/x = 5/24.
X = (25*24) /5 = 120kmph.
Train is 50% faster than car = x + x/2 = 3x/2.
Time difference = 12. 5 mins = 12. 5/60 hours = 125/600 = 5/24.
Distance = 75 km.
(Distance/Car speed) - (Distance/Train speed) = 12. 5 min = 5/24 hr.
(75/x) - (75/ (3/2x) ) = 5/24.
(75/x) - (150/3x) = 5/24.
25/x = 5/24.
X = (25*24) /5 = 120kmph.
Prasad chowdary said:
1 decade ago
Hi, @Arun to remove the decimal form 12.5. We multiply and divide 10.
(12.5*10)/10 = 125/10.
(12.5*10)/10 = 125/10.
Arun sanap said:
1 decade ago
Hey. I can't get how they take 125/10*60. In that I understand 125/60 but. How they take 10? Please help me.
Manu said:
1 decade ago
50% more than the car speed means lets car speed is 100 usual assumption 50% more means 150%.
Sriram Kalyan said:
1 decade ago
Can you please explain the first step. How did you take 150x/100?
Jothi said:
1 decade ago
What you mean by percentage ? hey its not the additional value to add with existent one number. How its possible to 3/2 for 50% ? 1/2 is only possible for 50%.
Ramesh said:
1 decade ago
Why the LHS is equated with RHS?
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