Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 12)
12.
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
8 kmph
11 kmph
12 kmph
14 kmph
Answer: Option
Explanation:

Let the distance travelled by x km.

Then, x - x = 2
10 15

3x - 2x = 60

x = 60 km.

Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10

So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

Required speed = 60 kmph. = 12 kmph.
5

Discussion:
93 comments Page 2 of 10.

Anuj said:   3 years ago
10 kmph (2 pm) = t h ----> eq(1)
x kmph (1 pm) = (t-1)h ----> eq(2)
15 kmph (2 pm) = (t-2)h ----> eq(3)
Since, distance is the same for all cases we can equate these equations to get the answer.
(6)

Rabin said:   1 year ago
Thanks for the explanation @Farzana.
(4)

Havoc said:   5 years ago
We can also use average speed formula.

Because 12 am to 2 pm time 2 hr.
Thus 12 am to 1 am 1 hr.
So, we can find use avg speed also,
The mid point time of 12 am and 2 pm is 1 pm.
(3)

Ranjith said:   5 years ago
Solution:

2xy/x+y >this is a formula.
2(10)(15)/10 + 15.
300/25 = 12kmph.
(3)

Pavan sai said:   7 years ago
It's very easy by using relative speed concept there are two things up there.
So, now by using the formula 2xy/x+y.
where x=10 and y=15,
=> 2*10*15/10+15,
=>300/25,
=>12,
So the answer is 12kmph.
(2)

Aamir said:   1 decade ago
We can also solve through avearge speed its easy .x=10,y=15
2xy/x+y
2*10*15/10+15=
300/25=12
(2)

Suma said:   9 years ago
If two distance is equal, here two distance is equal.

Then speed = 2s1s2/s1 + s2.

2 * 10 * 15/(10 + 15) = 12.
(1)

Muhammad ali said:   6 years ago
Why don't you just find the mean value?

With 10kmph reach at 2 p.m.
Witn 15kmph reach at 12noon.
Find mean of both for 1p.m required time.
So, 10+15 = 25/2 = 12.5kmph should be the correct answer.
(1)

Vinitha said:   5 years ago
As the time is in AP.
Speeds are in HP.

15kmph ---> 12 pm
X kmph ---> 1pm
10kmph ---> 2 pm.

HP = 2 * 15 * 10/15 + 10,
=300/25,
=12kmph.
(1)

Vyshu said:   1 decade ago
Why we are subtracting here i.e., x/10-x/15=2;.

And in the next problem why we are adding. Can anyone explain when should add and when should subtract.
(1)


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