
Two sea trawlers left a sea port simultaneously in two mutually perpendicular directions. Half an hour later, the shortest distance between them was km, and another 15 min later, one sea trawler was km farther from the origin than the other. Find the speed of each sea trawler.


Important Questions on Time, Speed and Distance

Mrinalini and Neha travel to Connaught Place along two straight roads with constant speeds. At the initial moment, the positions of Mrinalini, Neha, and Connaught Place form a right triangle. After Mrinalini travelled , the triangle between the points became equilateral. Find the distance between Mrinalini and Neha at the initial moment if at the time Mrinalini arrived at Connaught Place, Neha had to cover to reach Connaught Place.

Three cars started simultaneously from Ajmer to Benaras along the same highway. The second car travelled with a speed that was higher than the first car's speed and arrived at Benaras earlier than the first car. The third car arrived at Benaras earlier than the first car, travelling half the time at the speed of the first car and the other half at the speed of the second car. Find the total distance covered by these three cars during their journey between Ajmer and Benaras

Three sprinters A, B, and C had to sprint from points P to Q and back again (starting in that order). The time interval between the starting times of the three sprinters A, B, and C was 5 seconds each. Thus, C started seconds after A, while B started seconds after A. The three sprinters passed a certain point R, which is somewhere between P and Q simultaneously. Having reached Q and reversed the direction, the third sprinter met the second one m short of Q and met the first sprinter m short of Q. find the speed of the first sprinter if the distance between PQ is equal to m.


A passenger train left town Alpha for town Beta. At the same time, a goods train left Beta for Alpha. The speed of each train is constant throughout the whole trip. Two hours after the trains met, they were km apart. The passenger train arrived at the place of destination hours after their meeting and the goods train, hours after the meeting. How long did it take the passenger train to make the whole trip?


Dev and Nishit started simultaneously from opposite points X and Y on a straight road, at constant speeds. When Dev had covered of the distance from X to Y, Nishit was away from Dev after having crossed Dev. When Nishit had covered half the way, Dev was short of the midpoint. Find the time it took Dev to cover the distance from X to Y to the time it took Nishit to cover the same distance.
