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 5 of 10.

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)

Shilpa 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.

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)

Jethalal said:   6 years ago
@Vani.

If you want to reach at 1 P. M. Then from 8 o'clock to 1 the time comes out to be 5 hrs so we have taken 5hrs and from that we got speed.

Vishu said:   1 decade ago
x/10-x/15=2
=>3x-2x=60

I didn't get the proper method.

How it comes anyone could tell me briefly it will be helpful for me.

Prathamesh Pendal said:   5 years ago
1pm is in between 12 and 2 pm.
So, if we find average speed we can also get the answer.
Avg speed = (2*15*10)/(10+15) = 12.
(57)

Aarti said:   1 decade ago
Nice method @Rahul Mathur.

The only thing is you have calculated value of t=10 wrongly.

It comes out to be 6. Check out.

Ashish said:   2 decades ago
Actually 5 comes as:

Robert start travelling at 8 am. Now difference between 8 am to 1 pm is 5 hrs.

So that 60/5.

Sagar said:   8 years ago
8 am to 1 pm= 5 hours.
Distance:-60 and time:-5.
Therefore: 60/5 is taken at last step.
i.e: speed:-distance/ time.

Rinn sailo said:   8 years ago
Just take average speed.

Required speed.
= 2xy/(x+y),
=(2 x 10 x 15)/(10+15),
= 300/25.
= 12Km/hr.

That's it.


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