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:
342 comments Page 1 of 35.
Lokesh said:
3 weeks ago
I am not understanding this question. Please explain to me.
(7)
Deshik said:
1 month ago
Formula:
Time = distance/speed.
Speed = distance/time.
Let speed of train = x.
Then speed of the car = x + (x(50)/100),
= x + x/2,
= 3x/2,
The time taken by the train = 75/x.
The time taken by the car = 75/(3x/2).
Difference between them = 12.5 minutes,
75/x - 75/(3x/2) = 125/10 minutes,
75/x - 75/(3x/2) = 125/(10*60) hr,
(225-150)/3x=125/600,
75/3x = 125/600,
25/x = 125/600,
x = (25*600)/125,
x = 120kmph.
Time = distance/speed.
Speed = distance/time.
Let speed of train = x.
Then speed of the car = x + (x(50)/100),
= x + x/2,
= 3x/2,
The time taken by the train = 75/x.
The time taken by the car = 75/(3x/2).
Difference between them = 12.5 minutes,
75/x - 75/(3x/2) = 125/10 minutes,
75/x - 75/(3x/2) = 125/(10*60) hr,
(225-150)/3x=125/600,
75/3x = 125/600,
25/x = 125/600,
x = (25*600)/125,
x = 120kmph.
(17)
ABHISHEK said:
2 months ago
The speed of car be x km/h.
Then speed of the train will be = 3x/2km/h,
and the time taken to cover up 75 km is equal, but the train lost about 12.5 minutes while stopping at the stations.
So 75/x - 50/x = 5/24,
x= 120km/h.
Then speed of the train will be = 3x/2km/h,
and the time taken to cover up 75 km is equal, but the train lost about 12.5 minutes while stopping at the stations.
So 75/x - 50/x = 5/24,
x= 120km/h.
(2)
Adlin Jenu said:
2 months ago
The speed of the train: speed of the car = 150 : 100 = 3 : 2.
From the formula ; ratio of the speed = a:b,
if the same distance then, ratio of the time = b : a
Time ratio = 2:3
1u = 12.5 min
2u = 25 min
3u = 37.5 min.
The time taken by the car in hr = 37.5/60 = 375/600,
= 5/8 hr.
SPEED OF THE CAR IS = 75 divided by 5/8.
= 15 * 8.
= 120 km /hr.
From the formula ; ratio of the speed = a:b,
if the same distance then, ratio of the time = b : a
Time ratio = 2:3
1u = 12.5 min
2u = 25 min
3u = 37.5 min.
The time taken by the car in hr = 37.5/60 = 375/600,
= 5/8 hr.
SPEED OF THE CAR IS = 75 divided by 5/8.
= 15 * 8.
= 120 km /hr.
(17)
T S SOUNDHAR said:
4 months ago
If the car speed is 100kmph then the train speed is 150 kmph.
Because train 50% extra speed than a car.
Train in station stopping time is 12.5min.
But a car and train cover the same distance.
In case the train running non-stoping train cover more distance.
car: train 100%:150%.
car : train 100% ====(100% + 12.5min)
That 50% is 12.5min.
100% = 2 * 12.5min.
100% = 25min..
37.5min =75kmph
1min = 75/37.5
1min = 2 kmph
1hour = 60min = 2 * 60 = 120kmph.
Because train 50% extra speed than a car.
Train in station stopping time is 12.5min.
But a car and train cover the same distance.
In case the train running non-stoping train cover more distance.
car: train 100%:150%.
car : train 100% ====(100% + 12.5min)
That 50% is 12.5min.
100% = 2 * 12.5min.
100% = 25min..
37.5min =75kmph
1min = 75/37.5
1min = 2 kmph
1hour = 60min = 2 * 60 = 120kmph.
(24)
Renny said:
5 months ago
Thanks for explaining the answer @VIJETH BK.
(11)
Kumaran said:
7 months ago
Train : car = 150:100 or 3:2.
Difference = 12.5 so 1 part is 12.5.
Speed and time is vice versa.
Time = train : car is 25 min : 37.5 min.
37.5 min = 75 kmph.
60 min = 120 kmph.
Difference = 12.5 so 1 part is 12.5.
Speed and time is vice versa.
Time = train : car is 25 min : 37.5 min.
37.5 min = 75 kmph.
60 min = 120 kmph.
(31)
Nithishkumar said:
8 months ago
150/100 came because;
Car speed is 100% and train speed is 50% faster than a car so,
Car speed (100/100)+(50/100),
=(1/1)+(50/100),
Cross multiply then (100+50)/100.
= 150/100.
Car speed is 100% and train speed is 50% faster than a car so,
Car speed (100/100)+(50/100),
=(1/1)+(50/100),
Cross multiply then (100+50)/100.
= 150/100.
(54)
Jackie said:
9 months ago
Can anyone explain to me, how 12.5/60 9is = 5/24?
(7)
Mariyada Ramesh said:
10 months ago
Why do we have to subtract the speed of a car - the speed of a train?
Please explain to me
Please explain to me
(27)
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