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 19 of 21.

Priya said:   1 decade ago
Reason for substracting?

Kamal said:   1 decade ago
Reason for substracting two equation is.?

Appu said:   1 decade ago
Nice explanation by Anoo.

Rahul said:   1 decade ago
Let Abhay's speed be x km/hr
and sameer's speed be y km/hr

Abhay takes 2 hours more than Sameer
i.e (30/x)-(30/y)=2 ........ I

Abhay doubles his speed, i.e his speed becomes 2x
then he would take 1 hour less than Sameer

i.e (30/y)-(30/2x)=1......... II

ADD I and II
you will get

(30/x)-(30/2x)=3.......... III
solve III you will get x=5 km/h

Anoo said:   1 decade ago
Time in first case= 30/x(30 is distance and x is speed)

Time in second case=30/2x(30 is distance and speed is doubled)

Total difference in time is 3 hrs(2 hrs slow and one hour fast)

(30/x)-(30/2x)=3

Solve and you get 5km/hr.

Zabi said:   1 decade ago
Great explanation devi.

Amit said:   1 decade ago
Guys it could be like this also....
Abhay speed =x
sameer speed=y

(30/x)- (30/y)= 2 ....eq-1
-(30/2x)+(30/y)= 1 ...eq-2


Solving 1 and 2 we get => 6x=30 so x=5 answer.

Siva said:   1 decade ago
can u tell me any one ...why the values (30/x)-(30/2x)=(ts+2)-(ts-1) are subtracting?

i.e., between (30/x) and (30/2x)

Kamesh said:   1 decade ago
Devi , Good Explanation..

Thiru said:   1 decade ago
Thanks devi.


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