Question
A bus travels 40km north from stand. It turns right and
travels 80km, then turns right and travels 100km. How far is the bus from the stand (minimum possible distance) and in which direction?Solution
AC = BD = 80 Km DE = CD + CE => CE = 100 – 40 = 60 Km AE = √(CE²+AC²) AE = √(60²+80²) AE = √(3600+6400) = √10000 = 100 km Direction is South East.
- Two bikers, ‘C’ and ‘D’, start from point ‘R’ and ‘S’ respectively towards each other. They meet after 7 hours, and biker ‘D’ has trave...
A coach sees an athlete 85 meters ahead on the track and begins running after him. The athlete is running at a speed of 19 m/sec, while the coach runs a...
On travelling with 45% less speed than his actual speed, Mohan reached the destination 6 hours late. Find the time taken by him to reach his destination...
Arjun, cycling at a speed of 81 km/hr, can complete one round of a square field in 8 seconds. The radius of a circular field is 4 meters more than each ...
A ferry takes 75 minutes to row to place B from another place A along the stream. The distance between place A and place B is 37.5 km. If the speed of t...
Two persons start from the same point at the same time in opposite directions with speeds 5 km/h and 7 km/h. After how many hours will they be 36 km apa...
Vicky and Vikram start running simultaneously around a rectangular track of length 500m from the same point at speeds of 30 km/hr and 20 km/hr. When wil...
Train P starts from Lucknow to Dehradun at 11:55 am with an average speed of 25.5 m/s. Train Q starts from Dehradun to Lucknow at 1:35 pm with an averag...
The ratio of the speed of a car to a bicycle is 4:1 and the bicycle covers 45 km less than the car in the same time interval. If the time taken by the c...
A Truck travel 300 km in 7 hours 30 minutes, if the speed of Bike 20% more than that of Truck, then find the time taken by Bike to travel 720 km.
Relevant for Exams:
