Time Speed and Distance Questions with Solution (Moderate)

Q1. A handcart has to cover a distance of 120 km in 15 hours. If it covers half the distance in 4/7th of the time, then what speed should it maintain in order to cover the remaining journey in the scheduled time?

Q2. The time in which a train 180 m long, travelling at the speed of 30 kmph, will pass a signal pole is

Q3. The time taken by a 90 m long train, running at the speed of 18 kmph to cross a bridge 270 m long, is

Q4. Find the time taken by two trains, one 180 m long and the other 270 m  long, to cross each other, if they are running at speeds of 46 kmph and  54 kmph respectively. Consider both possible cases of motion.

Q5. A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the speed of the train is three times that of the horse-transit and 112121 times that of the steamer. Find the speed of the train.

Q6. A railway passenger counts the telegraph posts as he passes them. If they are 50 metres apart and the train is going at 48 kmph, how many posts will he pass per minute?

Q7. A and B start on a journey at the same time. B travels at 4/7th of A's rate, and arrives 3 hours 15 minutes after him. How long did each take to complete the whole journey?

Q8. A ship 156 km from the shore springs a leak which admits 2.5 metric tons of water In 612621 minutes. A quantity of 68 metric tons would suffice to sink it, but the pumps can throw out 15 metric tons in an hour.  The average rate of sailing so that it just reaches the shore as it begins  to sink should be

Q9. A train 90 m long is travelling at the rate of 40 kmph. A man is running at a speed of 5 kmph in a direction opposite to the motion of the train. The time taken by the train to cross the man is

Q10. A train travelling at 25 kmph leaves Delhi at 9 am and another train travelling at 35 kmph starts at 2 pm in the same direction. How many km from Delhi are they together?

Q11. Walking at 3/4 of his usual rate, a man is 1 ½ hours too late. Find his usual time.

Q12. 1 have to be at a certain place at a certain time and find that I shall be  40 minutes late, if I walk at the rate of 4 kmph and 40 min early if I  walk at the rate of 5 kmph. What is the usual time required by me to reach my destination?

Q13. Two men A and B walk from P to Q, a distance of 21 km, at 3 and 4 km an hour respectively. B reaches Q, returns immediately and meets A at  R. The distance from P to R is

Q 14. A person can row at the rate of 3 kmph in still water. If the river is running at 1.2 kmph, then it takes him 2 hours to row to a place and back. How far is the place?

Q15. The current of a stream runs at 5 kmph. A motor launch goes 25 km upstream and back again to the starting point in 275/2 minutes. The  speed of the motor launch in the absence of any current is