Aptitude - Time and Distance - Discussion
Discussion Forum : Time and Distance - General Questions (Q.No. 11)
11.
In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Answer: Option
Explanation:
Let Abhay's speed be x km/hr.
| Then, | 30 | - | 30 | = 3 |
| x | 2x |
6x = 30
x = 5 km/hr.
Discussion:
209 comments Page 14 of 21.
Rithesh said:
9 years ago
Thanks @Devi.
Rithesh said:
9 years ago
Thanks @Devi.
Asha said:
9 years ago
Thank you for the great explanation @Devi.
Barsha said:
9 years ago
Thank you @Kingstan.
Shivakar said:
9 years ago
Let Sameer speed is X km/h and time taken by Sameer is T.
Let Abhay speed is Y km/h.
Then, According to question.
30/X = T........(i)
30/Y = T+2....(ii)
Now,
Abhay speed is Double means 2Y
so, time taken by Abhay
30/2Y=T-1.....(iii)
Substitute the Eqn..(iii) in Eqn...(ii).
30/x-30/2Y = T+2-(T-1),
30/X-30/2Y = T+2-T+1,
(60-30)/2Y = 2+1,
30/2Y = 3,
30 = 6Y,
Hence,
Y = 5 kmph.
Let Abhay speed is Y km/h.
Then, According to question.
30/X = T........(i)
30/Y = T+2....(ii)
Now,
Abhay speed is Double means 2Y
so, time taken by Abhay
30/2Y=T-1.....(iii)
Substitute the Eqn..(iii) in Eqn...(ii).
30/x-30/2Y = T+2-(T-1),
30/X-30/2Y = T+2-T+1,
(60-30)/2Y = 2+1,
30/2Y = 3,
30 = 6Y,
Hence,
Y = 5 kmph.
Vikas said:
9 years ago
We have to find the speed of Abhay.
So,
let speed of Abhay = x km/hr.
Time taken by Sameer = t hrs.
Now, first condition,
Speed = distance/time.
So, Abhay takes 2 hrs more than Sameer that comes.
(30/t+2)= x ----> eq(1).
Now condition second,
If abhay doubles his speed that is x km/hrs to 2xkm/hr. Time t reduces to t-1,
{30/(t+2)}=2x ----> eq(2).
By solving equation1 and 2.
x = 5km/hr.
So,
let speed of Abhay = x km/hr.
Time taken by Sameer = t hrs.
Now, first condition,
Speed = distance/time.
So, Abhay takes 2 hrs more than Sameer that comes.
(30/t+2)= x ----> eq(1).
Now condition second,
If abhay doubles his speed that is x km/hrs to 2xkm/hr. Time t reduces to t-1,
{30/(t+2)}=2x ----> eq(2).
By solving equation1 and 2.
x = 5km/hr.
Haeshal said:
8 years ago
I don't understand it. Please, someone explain it.
Ashish kumar mishra said:
8 years ago
Why subtraction between 30/x-30/2x = 3?
Reshma rgukt said:
8 years ago
@Devi.
Your explanation was very good. I understood very well. Thanks.
Your explanation was very good. I understood very well. Thanks.
Deepika said:
8 years ago
Thanks for the clear solution @Devi.
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