Rohit is traveling on his bike and has calculated to reach point A at 3 p m if he travels at 10 kmph...........

Quantitative Aptitude (CDS) Time & distance

Rohit is traveling on his bike and has calculated to reach point A at 3 p.m. if he travels at 10 kmph, he will reach there at 1 p.m. if he travels at 20 kmph. At what speed must he travel to reach A at 2 p.m.?

30/4 kmph

45/4 kmph

14 kmph

40/3 kmph

Explanation:

Let the distance travelled be x km.
Then, x/10 - x/20 = 2
2x - x = 40
x = 40
time taken to travel 40 km at 10 kmph = 40/10 hours
= 4 hours
So, Rohit started 4 hours before 3 p.m. i.e. at 11a.m.
Total time = 11 am to 2 pm = 3 hours
Required speed = 40/3 kmph
= 40/3 kmph