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:
5 kmph
6 kmph
6.25 kmph
7.5 kmph
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 4 of 21.

Ricky said:   6 years ago
How come 3 here? Please explain.
(1)

VIKASH KUMAR said:   6 years ago
Let the speed of Abhay be X kmph.
Let the Time taken by Sameer to cover a distance of 30 km be T hr.
According to problem;

Abhay takes 2hr more than Sameer i.e, (T+2)
Speed =Distance/Time .
Abhay's speed = total distance/ time taken by Abhay.

X=30/(T+2) --------> eqn1.

Now,
If Abhay doubles his speed i.e, 2X he would take 1 hr less than Sameer i.e (T-1)
2X=30/(T-1)--------> eqn1.

Now divide eqn1/ eqn2.
You will get T = 4hr.
Now put T=4 in eqn1. You will get X = 5kmph.
(1)

Rohit said:   5 years ago
By applying direct formulation speed - distance /time.
30/3 * 2,
= 5.
(1)

Arun said:   2 decades ago
How that 6x came. Please can You explain. I Don't know That method.

Ranjit said:   1 decade ago
I cant understand how it gets value 3 can any one make me clear to understand this please.

Sudha said:   1 decade ago
Anyone please explain in detail this problem.

Noufal said:   1 decade ago
Thanx DEVI you are great.

Joti said:   1 decade ago
@thiru.g.

Thank you.

Ramya said:   1 decade ago
Thanks devi:).

Shiva said:   1 decade ago
Thanks devi. Great explanation.


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