Question
If a person walks at (2/3) of his
normal speed, he arrives at his office 30 minutes late. What is the usual time taken by him to reach his office?Solution
ATQ,
Let the distance covered by the person to reach the office be 'd' meters, the usual time taken be 't' minutes, and the usual speed be 's' meters per minute. According to the question: 
3d=2s×(t+30)... (1) (d/s) = t So, d=s×t... (2) Using substitution from equation (2) into equation (1): 3st=2s×(t+30) Simplifying = 3st = 2st+60s Or, st=60s Thus, t = 60 Therefore, the usual time taken by the person to reach the office is 60 minutes.
A thief is noticed by a policeman from a distance of 97 m. The thief starts running and the policeman chases him. The thief and the policeman run at a ...
- Two ships ‘M’ and ‘N’, which were 1020 km apart, started traveling towards each other at the same time and met after 6 hours. If the speed of ship ...
A train covers a distance of 84 km at the speed of 42 km/h the next 45 km distance covers with a speed of 30 km/h and last 60 km with the speed of 40 km...
If a person walks 25% more than of his usual speed, reaches his distance 90 minutes before. If the destination is 495 km away, then the usual speed of a...
Paras starts chasing a Vipin, 5 hours after the Vipin starts running. Paras takes 6 hours to catch the Vipin. If the average speed of the Paras is 22 km...
Cities X and Y are 180 km away from each other. A bike leaves from city X towards city Y at 8 am at a speed of 36 km/h. At 10 am, another bike starts fr...
A carriage travels in the fog passed along a man who was walking @ 3kmph in the same direction. He could see the carriage for 4 minutes and it was visib...
If a person walks 20% more than of his usual speed, reaches his distance 90 minutes before. If the destination is 459 km away, then the usual speed of a...
- A woman travels at 50 km/h and is expected to reach her destination in 2 hours. However, after covering half the distance, she takes a 20-minute break. Wha...
A Bus moving at a speed of 's' km/h can pass a stationary person in 16 seconds and a tunnel Bridge that is 240 meters long in 28 seconds. Determine the ...
