Syntel Company Numerical Ability Time Distance and Speed

Robert is traveling on his cycle and has calculated to reach point A at 2 PM. 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.?
1. 8 kmph
2. 13 kmph
3. 12 kmph
4. 16 kmph

Read Solution (Total 2)

12 KM SPEED BY AVERAGE FORMULA
10 years agoHelpfull: Yes(1) No(1)

Let the distance travelled by x km.

Then, x/10 - x/15 = 2

3x - 2x = 60
x = 60 km.

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

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

Required speed = 60/5 kmph. = 12 kmph.
9 years agoHelpfull: Yes(1) No(0)

Syntel Other Question

Starting from his house one day, a student walks at a speed of 5/2 kmph and reaches his school 6 minutes late. Next day he increases his speed by 1 kmph and reaches the school 6 minutes early. How far is the school from his house?
1. 1 km
2. 15 km
3. 14 km
4. 3 km If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is:
1. 13 min.
2. 17 min.
3. 19 min.
4. 22 min.