He drove his car through SLIMY road to rach your office . .

Find the maximum velocity with which a driver must drive his car on a flat curved road of radius of curvature 150m and co-efficient of friction 0.6, to avoid skidding of his car.

You note that your officer is happy with 60% of your calls, so, you assign a probability of his being happy on your visit of 0.6 . You have noticed also that if he is happy, he accedes to your request with a probability 0 . 4 , whereas if he is not happy he accedes to the request with a probability of 0.1 . You call one day and he accedes to your request . What is the probability that your office was happy ?

A drives his car at 360 m/s. Moving ahead for some hours his car breaks down. So he takes 20 seconds to fix it. Mean while he notices that another car which was 400 m back is now 200m ahead of his car. What is the speed of the car?

Ajay starts from his house to his office by his car which is 15 km away at an average speed of 45 km per hour. On the way back, he takes a route longer by 5 km since there is heavy traffic on the regular route. If he reaches home in the same time as the time he took to reach office in the morning, find his speed on the return journey.

Shyam’s house, his office and his gym are all equidistant from each other. The distance between any 2 of them is 4 km. Shyam starts walking from his gym in a direction parallel to the road connecting his office and his house and stops when he reaches a point directly east of his office. He then reverses direction and walks till he reaches a point directly south of his office. The total distance walked by Shyam is