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:
94 comments Page 5 of 10.

Ram sai said:   7 years ago
Thanks for the answer @Ashish.

Noorandeous said:   6 years ago
6 hours before 2 PM was not given how you added it?

Vinaykumar said:   10 years ago
Simple :.

2 speeds calculate average speed 2xy/(x + y).

So,

2 * 10 * 15/(10 + 15).
12km/hr.

Vani said:   6 years ago
@Bhushan suriya.

How 5 hours will get at the last at 1:00pm?

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.

Revant said:   6 years ago
Clear solution. Thank you so much @Ankit.

Sania prathi said:   6 years ago
Thank you @Neha.

Ishwar said:   5 years ago
Let calculate distance firs say d.

D/10-d/15=2 (he reach 12noon 2hr early).

By calculating we get d = 60km.

Let's speed is S to calculate S difference between travel at first speed rate and S rate is.
60/10-60/S=1 (because he reaches by 1 am, 1hr early).

By calculating this we get.

5S=60.
S = 12kmph.

Abhiii said:   2 months ago
Avg speed =>
Total distance/total time = 15 + 10/2 = 12.5,
So, the answer is 12.

Mano said:   1 decade ago
I agree to vishu comment. How that step came ?


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