2017 · Q113
Two vehicles A and B travel with uniform speed 30 km per hour and 60 km per hour respectively in the same direction, They start at the same time and from the same place for a distance of 120 km. The faster vehicle B reaches the destination and travels back with the same speed. Assume that the loss of time to change the direction is negligible. If x is the distance travelled by the slower vehicle A before the two vehicles cross each other, then x is
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- A70 km
- B75 km
- C80 km
- D90 km
Explanation
Let A travel x km before they cross; B travels 120 km to the destination and back (120 - x) km, i.e., 240 - x km. Equal times give x/30 = (240 - x)/60, so 2x = 240 - x and x = 80 km. Hence C.