NIMCET 2008
If a man walks at the rate of km/h, he misses a train by minutes. If he walks at km/h, he reaches the station minutes before the train. Find the distance (in km) to the station.
Answer (Detailed Solution Below)View answer βΎHide β΄
Answer: Option A β
Detailed Solution
The two walking times differ by min h.
.
km.
β Check
At km/h the walk takes min, at km/h min; the difference is min.β Common trap
Option (D) is just the faster speed; using a gap of only min would give km, which is not offered.Quick tip
π¬ Discussions on this question
Ask a doubt βΊStill stuck on this question? Ask our faculty and fellow students β answers appear here.
Ask a doubtMore Time, Speed & Distance Questions
View all βΊ- Q1.Two trains start at the same time from A and B, 200 km apart, towards each other and meet at a distance of 110 km from A. Find the ratio of the speeds of train A and train B.
- Q2.Two trains, A and B, start simultaneously from two stations apart. Train A travels at , and Train B travels at . If a bird starts flying from Train A towards Train B at and immediately turns back upon reaching Train B, continuing this until the trains meet, what total distance does the bird cover?
- Q3.Two trains, A and B, start simultaneously from two stations apart. Train A travels at , and Train B travels at . If a bird starts flying from Train A towards Train B at and immediately turns back upon reaching Train B, continuing this until the trains meet, what total distance does the bird cover?
- Q4.If a train travels 60 miles per hour, how long will it take to cover 120 miles?
- Q5.A car covers 15 km, 20 km, 30 km and 12 km at speeds of 20 km/hr, 30 km/hr, 40 km/hr and 30 km/hr respectively The average speed of the car for the total journey is:
More Quantitative Aptitude Questions
- Q1.By selling 45 lemons for βΉ40, a man loses 20%. How many lemons should he sell for βΉ24 to gain 20%?Profit, Loss & Discount
- Q2.The marked price of an article is 1.45 times its cost price. Its selling price is βΉ1,500 and the profit is 25%. What is the discount percentage? Profit, Loss & Discount
- Q3.Let A be a real number. Then the roots of the equation are real and distinct if and only if Quadratic Equations
- Q4.The number of distinct real roots of the equation is Quadratic Equations
- Q5.The roots of are:Quadratic Equations
Time, Speed & Distance β Preparation
This question tests your understanding of Time, Speed & Distance, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Time, speed and distance questions are built on one relationship: distance = speed x time. The topic covers average speed, relative speed of objects moving in the same or opposite directions, problems on trains crossing poles, platforms and other trains, boats and streams, and races. Two shortcuts solve a large share of these questions. To convert km/h to m/s, multiply by 5/18. When equal distances are covered at speeds a and b, the average speed is 2ab/(a + b), not the simple average. For trains, remember that the distance covered while crossing includes the length of the train itself. Ratio reasoning also helps: at a constant distance, time is inversely proportional to speed. Practise the questions below on trains, boats, relative speed and average speed, each with a step-by-step solution.