Speed, Distance and Time

Arithmetic Aptitude

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Qn #2016
A person travels on a cycle from home to church on a straight road with wind against him. He took 4 hours to reach there. On the way back he took 3 hours as wind was in the same direction. If there is no wind, how much time does he take to travel from home to church?

Qn #2007
If a man walks at the rate of $4$ kmph, he misses a train by $6$ minutes. If he walks at $5$ kmph, he reaches the station $6$ minutes before the train. Find the distance to the station.
Qn #1998
A car is filled with 4½ liters of fuel for a round trip. If the amount of fuel taken while going is 1/4th more than the amount taken for coming, what is the amount of fuel consumed while coming back?
Qn #1902
A man walks down an escalator.
If he walks down 26 steps, he takes 30 seconds.
If he walks down 34 steps, he takes 18 seconds.
Time is measured from when the top step begins to descend until he steps off at the bottom.
What is the height of the stairway in steps?
Qn #1890
A motorboat going downstream passes a raft at point A. Exactly one hour later it turned back and while coming upstream it passed the same raft at point B, 6 km from point A. What is the speed of the water current in km/hr?
Qn #1858
A train travels 60 km, then due to an accident runs at $\dfrac{3}{4}$ of its former speed and reaches 40 minutes late. If the accident had occurred 25 km later, it would be 10 minutes earlier. Find the original speed and distance.
Qn #1741
A clock is set right at $8$ a.m. The clock gains $10$ minutes in $24$ hours. What will be the correct time when the clock shows $1$ p.m. next day?
Qn #1698
Car travels half distance with $v_1$, half with $v_2$. Average speed is
Qn #1625
A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long, at the same speed. What is the length of the train, in meters?
Qn #1309
Raghav left his home for office in car. He drove 15 km straight towards North and then turned eastwards and covered 8 km. He then turned to left and covered 1 km. He again turned left and drove for 20 km and reached office. How far and in which direction is his office from the home?
Qn #1302
caterpillar crawls up a pole of 75 inches high standing from the ground. Each day is crawls up 5 inches and each night it slides down 4 inches. When will it reach the top of the pole?
Qn #1122
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
Qn #1082
Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6:30 am and travels at 50kmph towards Baroda situated 100 km away. At 7.00 am Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7:30 am Mr. Shah, the traffic controller at Baroda realizes that both trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?
Qn #1000
Three cities A, B, C are equidistant from each other. A motorist travels from A to B at 30km/hour, from B to C at $40$ km/hour, and from C to A at 50km/hour. Then the average speed is
Qn #959
If a man walks at the rate of 4 km/hr, he misses a train by only 6 minutes. However, if he walks at the rate of 5 km/hr, he reaches the station 6 minutes before the arrival of the train. The distance covered by him to reach the station is:
Qn #928
Mr. Kumar drives to work at an average speed of 48 Km/hr. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?
Qn #926
A runs $1 \frac{2}{3}$ times as fast as B. If A gives B a start of 80m, how far must the winning post be so that A and B might reach it at the same time?
Qn #695
Rajdhani Train running at a speed of 54 km/hr crosses a platform of length same as that of the train in 36 sec. If a Duronto train, which is 230 meters long crosses the same platform in 25 sec, then find speed of Duronto train (in km/hr)?
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